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Gravity

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That all bodies having a simple motion, will continue to move in a straight line, unless continually deflected from it by some extraneous force, causing them to describe a circle, an ellipse, or some other curve. 3. That this attraction is so much the greater as the bodies are nearer. As to the proportion in which those forces diminish by an increase of distance, I own I have not discovered it....
2288:. As in Newton's first law of motion, Einstein believed that a force applied to an object would cause it to deviate from a geodesic. For instance, people standing on the surface of the Earth are prevented from following a geodesic path because the mechanical resistance of the Earth exerts an upward force on them. This explains why moving along the geodesics in spacetime is considered inertial. 4185:, First Day Salviati speaks: "If this were what Aristotle meant you would burden him with another error which would amount to a falsehood; because, since there is no such sheer height available on earth, it is clear that Aristotle could not have made the experiment; yet he wishes to give us the impression of his having performed it when he speaks of such an effect as one which we see." 8017: 2689:. This contradiction is especially vexing to physicists because the other three fundamental forces (strong force, weak force and electromagnetism) were reconciled with a quantum framework decades ago. As a result, modern researchers have begun to search for a theory that could unite both gravity and quantum mechanics under a more general framework. 2766:. Eddington measured starlight deflections twice those predicted by Newtonian corpuscular theory, in accordance with the predictions of general relativity. Although Eddington's analysis was later disputed, this experiment made Einstein famous almost overnight and caused general relativity to become widely accepted in the scientific community. 5697:. Quote, p. 332: "Thus the results of the expeditions to Sobral and Principe can leave little doubt that a deflection of light takes place in the neighbourhood of the sun and that it is of the amount demanded by Einstein's generalised theory of relativity, as attributable to the sun's gravitational field." 1350:). In this book, Newton described gravitation as a universal force, and claimed that "the forces which keep the planets in their orbs must reciprocally as the squares of their distances from the centers about which they revolve." This statement was later condensed into the following inverse-square law: 2968:
detectors. The gravitational waves emitted during the collision of two black holes 1.3 billion light years from Earth were measured. This observation confirms the theoretical predictions of Einstein and others that such waves exist. It also opens the way for practical observation and understanding of
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to the Einstein field equations. Solving these equations amounts to calculating a precise value for the metric tensor (which defines the curvature and geometry of spacetime) under certain physical conditions. There is no formal definition for what constitutes such solutions, but most scientists agree
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I will explain a system of the world very different from any yet received. It is founded on the following positions. 1. That all the heavenly bodies have not only a gravitation of their parts to their own proper centre, but that they also mutually attract each other within their spheres of action. 2.
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believed that objects fell towards the Earth because the Earth was the center of the Universe and attracted all of the mass in the Universe towards it. He also thought that the speed of a falling object should increase with its weight, a conclusion that was later shown to be false. While Aristotle's
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The strength of the gravitational field is numerically equal to the acceleration of objects under its influence. The rate of acceleration of falling objects near the Earth's surface varies very slightly depending on latitude, surface features such as mountains and ridges, and perhaps unusually high
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during full and new moons which seem to prove that the speed of gravity is equal to the speed of light. This means that if the Sun suddenly disappeared, the Earth would keep orbiting the vacant point normally for 8 minutes, which is the time light takes to travel that distance. The team's findings
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of a triangle. He postulated that if two equal weights did not have the same center of gravity, the center of gravity of the two weights together would be in the middle of the line that joins their centers of gravity. Two centuries later, the Roman engineer and architect Vitruvius contended in his
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The force of gravity on Earth is the resultant (vector sum) of two forces: (a) The gravitational attraction in accordance with Newton's universal law of gravitation, and (b) the centrifugal force, which results from the choice of an earthbound, rotating frame of reference. The force of gravity is
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Every planetary body (including the Earth) is surrounded by its own gravitational field, which can be conceptualized with Newtonian physics as exerting an attractive force on all objects. Assuming a spherically symmetrical planet, the strength of this field at any given point above the surface is
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Testing the predictions of general relativity has historically been difficult, because they are almost identical to the predictions of Newtonian gravity for small energies and masses. Still, since its development, an ongoing series of experimental results have provided support for the theory:
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that gravity is not dependent on a substance's weight but rather on its "nature". In the 6th century CE, the Byzantine Alexandrian scholar John Philoponus proposed the theory of impetus, which modifies Aristotle's theory that "continuation of motion depends on continued action of a force" by
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Einstein's description of gravity was quickly accepted by the majority of physicists, as it was able to explain a wide variety of previously baffling experimental results. In the coming years, a wide range of experiments provided additional support for the idea of general relativity. Today,
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in 1973. This system consists of a pulsar and neutron star in orbit around one another. Its orbital period has decreased since its initial discovery due to a loss of energy, which is consistent for the amount of energy loss due to gravitational radiation. This research was awarded the
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was well received by the scientific community, and his law of gravitation quickly spread across the European world. More than a century later, in 1821, his theory of gravitation rose to even greater prominence when it was used to predict the existence of
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Lectiones Cutlerianae, or A collection of lectures, physical, mechanical, geographical & astronomical : made before the Royal Society on several occasions at Gresham Colledge [i.e. College] : to which are added divers miscellaneous
1045:, also known as gravitational attraction, is the mutual attraction between all masses in the universe. Gravity is the gravitational attraction at the surface of a planet or other celestial body; gravity may also include, in addition to gravitation, the 3009:
and Virgo detectors received gravitational wave signals within 2 seconds of gamma ray satellites and optical telescopes seeing signals from the same direction. This confirmed that the speed of gravitational waves was the same as the speed of light.
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caused by the Earth's rotation and because points on the equator are furthest from the center of the Earth. The force of gravity varies with latitude and increases from about 9.780 m/s at the Equator to about 9.832 m/s at the poles.
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per century. The most obvious explanation for this discrepancy was an as-yet-undiscovered celestial body, such as a planet orbiting the Sun even closer than Mercury, but all efforts to find such a body turned out to be fruitless. In 1915,
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in the oceans. The corresponding antipodal tide is caused by the inertia of the Earth and Moon orbiting one another. Gravity also has many important biological functions, helping to guide the growth of plants through the process of
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which eventually condensed into galaxies, so gravity is responsible for many of the large-scale structures in the universe. Gravity has an infinite range, although its effects become weaker as objects get farther away.
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An initially-stationary object that is allowed to fall freely under gravity drops a distance that is proportional to the square of the elapsed time. This image spans half a second and was captured at 20 flashes per
2655:-body problem"), and some scientists suspect that the Einstein field equations will never be solved in this context. However, it is still possible to construct an approximate solution to the field equations in the 1585: 2397: 6616: 2292:
Einstein's theory of relativity is used for all gravitational calculations where absolute precision is desired, although Newton's inverse-square law is accurate enough for virtually all ordinary calculations.
2685:. This is because general relativity describes gravity as a smooth, continuous distortion of spacetime, while quantum mechanics holds that all forces arise from the exchange of discrete particles known as 5374: 114: 4267: 4735: 2952:
General relativity predicts that energy can be transported out of a system through gravitational radiation. The first indirect evidence for gravitational radiation was through measurements of the
5803: 5932: 2530: 1415: 1119: 5471: 7107: 6267: 3629:§ 2.1: "The total force acting on a body at rest on the earth's surface is the resultant of gravitational force and the centrifugal force of the earth's rotation and is called gravity. 2819:. This discovery confirmed yet another prediction of general relativity, because Einstein's equations implied that light could not escape from a sufficiently large and compact object. 6466: 4484: 2584:. At points far away from the central mass, the accelerations predicted by the Schwarzschild solution are practically identical to those predicted by Newton's theory of gravity. 4765: 138: 2609:
for charged, rotating massive objects. This solution was derived in 1964, using the same technique of complex coordinate transformation that was used for the Kerr solution.
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There are some observations that are not adequately accounted for, which may point to the need for better theories of gravity or perhaps be explained in other ways.
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General relativity states that gravity acts on light and matter equally, meaning that a sufficiently massive object could warp light around it and create a
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as it moves towards a source of gravity. The observed redshift also supported the idea that time runs more slowly in the presence of a gravitational field.
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If an object with comparable mass to that of the Earth were to fall towards it, then the corresponding acceleration of the Earth would be observable.
3832:]. Herbert Langford Warren, Nelson Robinson (illus), Morris Hicky Morgan. Harvard University, Cambridge: Harvard University Press. p. 215. 1607: 5271: 5098: 5872: 3280: 2647:, which concerns the geometry of spacetime around two mutually interacting massive objects, such as the Sun and the Earth, or the two stars in a 6348: 6051: 2284:
is curved by matter, and that free-falling objects are moving along locally straight paths in curved spacetime. These straight paths are called
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where stars on the outskirts are moving faster than they should according to the observed distributions of normal matter. Galaxies within
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observed that two cannonballs of differing sizes and weights fell at the same rate when dropped from a tower. In the late 16th century,
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Newman, E. T.; Couch, E.; Chinnapared, K.; Exton, A.; Prakash, A.; Torrence, R. (June 1965). "Metric of a Rotating, Charged Mass".
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formation also create detectable amounts of gravitational radiation. This research was awarded the Nobel Prize in Physics in 2017.
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Today, there remain many important situations in which the Einstein field equations have not been solved. Chief among these is the
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independently used Newton's law to predict Neptune's location in the night sky, and the planet was discovered there within a day.
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proportional to the planetary body's mass and inversely proportional to the square of the distance from the center of the body.
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Despite its success in predicting the effects of gravity at large scales, general relativity is ultimately incompatible with
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13, 145, (1908) pp. 267–271, Weber–Gauss electrodynamics applied to gravitation. Classical advancement of perihelia.
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Hanford Observatory located in Washington, United States, where gravitational waves were first observed in September 2015
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for the discovery of a new type of pulsar, a discovery that has opened up new possibilities for the study of gravitation
7924: 7472: 7455: 7396: 5614: 4922: 3126: 3110: 2418: 2277:, Einstein believed that it was possible for this acceleration to occur without any force being applied to the object. 1594: 1497: 8078: 7577: 7406: 7176: 7007: 6969: 5723: 5514: 4953: 4798: 4646: 4209: 4149: 4023: 3998: 3904: 3862: 3258: 2855:, the existence of which had been predicted by general relativity. Scientists believe that the waves emanated from a 2487: 2312:
that form the basis of general relativity and continue to test the theory, finding excellent agreement in all cases.
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allowed him to firmly establish that gravitational acceleration is the same for all objects. Galileo postulated that
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Turyshev, Slava G.; Toth, Viktor T.; Kinsella, Gary; Lee, Siu-Chun; Lok, Shing M.; Ellis, Jordan (12 June 2012).
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has been shown to be explained by thermal recoil due to the distant sun radiation on one side of the space craft.
2304:, general relativity remains the framework for the understanding of gravity. Physicists continue to work to find 1807: 1066: 1026:, in a currently unknown manner. Scientists are currently working to develop a theory of gravity consistent with 133: 33: 7684: 7606: 7373: 5684: 3121: 2827: 837:. Gravity is, by far, the weakest of the four fundamental interactions, approximately 10 times weaker than the 388: 128: 6487: 6178: 7877: 7401: 7161: 7143: 6371: 5022: 4892: 4537: 2914: 2763: 2557: 2325: 2285: 1894: 1602: 1146:
held the same position as Aristotle that all matter in the Universe is attracted to the center of the Earth.
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Horndeski, G.W. (September 1974). "Second-Order Scalar–Tensor Field Equations in a Four-Dimensional Space".
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In December 2012, a research team in China announced that it had produced measurements of the phase lag of
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theory of gravity (1982) by G.A. Barber in which the Brans–Dicke theory is modified to allow mass creation
1219:, objects made of the same material but with different masses would fall at the same speed. With the 1586 7662: 7556: 7546: 7421: 7156: 7138: 6638:
Anderson, John D.; Campbell, James K.; Ekelund, John E.; Ellis, Jordan; Jordan, James F. (3 March 2008).
3883:, 1888, p. 642: "Î»Î­ÎłÏ‰ Ύᜎ ᜅτÎč áŒ‘ÎœÎ­ÏÎłÎ”ÎčÎŹ τÎčς áŒ€ÏƒÏŽÎŒÎ±Ï„ÎżÏ‚ ÎșÎčΜητÎčÎșᜎ áŒ‘ÎœÎŽÎŻÎŽÎżÏ„Î±Îč ᜑπ᜞ Ï„ÎżáżŠ áż„ÎčÏ€Ï„ÎżáżŠÎœÏ„ÎżÏ‚ Ï„áż· áż„ÎčÏ€Ï„ÎżÏ…ÎŒÎ­Îœáżł ." 3672:"Motion to the Center or Motion to the Whole? Plutarch's Views on Gravity and Their Influence on Galileo" 3220: 3065: 2786: 2732: 2201: 1692: 1612: 1030:, a quantum gravity theory, which would allow gravity to be united in a common mathematical framework (a 457: 258: 5264: 2328:
which describe how matter affects the curvature of spacetime. The system is often expressed in the form
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proposed the idea that gravity is an attractive force that draws objects to the Earth and used the term
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in Arizona, which saw two mirror images of the same quasar whose light had been bent around the galaxy
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Drabkin, I. E. (1963). "Two Versions of G. B. Benedetti's Demonstratio Proportionum Motuum Localium".
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In 1604, Galileo correctly hypothesized that the distance of a falling object is proportional to the
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believed that the force of gravity was not unique to the Earth, and he correctly assumed that other
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uniformly accelerate. De Soto may have been influenced by earlier experiments conducted by other
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The first direct evidence for gravitational radiation was measured on 14 September 2015 by the
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The nature and mechanism of gravity were explored by a wide range of ancient scholars. In
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Physics for Scientists and Engineers: Mechanics, Oscillations and Waves, Thermodynamics
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TANG, Ke Yun; HUA ChangCai; WEN Wu; CHI ShunLiang; YOU QingYu; YU Dan (February 2013).
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provided one of the first opportunities to test the predictions of general relativity.
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view was widely accepted throughout Ancient Greece, there were other thinkers such as
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imply that the earliest instance of gravity in the universe, possibly in the form of
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who correctly predicted that the attraction of gravity was not unique to the Earth.
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Ioannis Philoponi in Aristotelis Physicorum Libros Quinque Posteriores Commentaria
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Philoponus' term for impetus is "áŒ‘ÎœÎ­ÏÎłÎ”Îčα áŒ€ÏƒÏŽÎŒÎ±Ï„ÎżÏ‚ ÎșÎčΜητÎčÎșÎź" ("incorporeal motive
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In the mid-16th century, various European scientists experimentally disproved the
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Haugan, Mark P; LĂ€mmerzahl, C (2011). "Einstein gravity from conformal gravity".
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Rozhanskaya, Mariam; Levinova, I. S. (1996). "Statics". In Rushdī, Rāshid (ed.).
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Lost Enlightenment: Central Asia's Golden Age from the Arab Conquest to Tamerlane
3876: 3867: 3362: 3347: â€“ Idea of creating a place or object that is free from the force of gravity 3330: 3181: 3177: 3133:, based on a fluid-based explanation where a light gas fills the entire Universe. 3097: 3019: 2841: 2720: 2712: 2676: 2636: 2407: 2255: 2145: 2120: 2005: 2000: 1864: 1745: 1707: 1232: 1193: 1185: 1092:
Although he did not understand gravity as a force, the ancient Greek philosopher
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Ripples in Spacetime: Einstein, Gravitational Waves, and the Future of Astronomy
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uncharged massive object. For compact enough objects, this solution generated a
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Nobil, Anna M. (March 1986). "The real value of Mercury's perihelion advance".
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The Archimedes Codex: Revealing The Secrets of the World's Greatest Palimpsest
943:, caused by the uneven distribution of mass, and causing masses to move along 853:. However, gravity is the most significant interaction between objects at the 8067: 7767: 7436: 7227: 7017: 6949: 6753: 6663: 6640:"Anomalous Orbital-Energy Changes Observed during Spacecraft Flybys of Earth" 6268:"Gravitational waves: scientists announce 'we did it!' – live" 5529: 5435: 5241: 4840:"Einstein's general relativity theory is questioned but still stands for now" 4790:
From Atoms to Galaxies: A conceptual physics approach to scientific awareness
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Scientific Development and Misconceptions Through the Ages: A Reference Guide
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Out of the shadow of a giant: Hooke, Halley and the birth of British science
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instead of a force. Einstein began to toy with this idea in the form of the
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In general relativity, the effects of gravitation are ascribed to spacetime
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Electricity in the 17th and 18th Centuries: A Study of Early Modern Physics
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Eventually, astronomers noticed an eccentricity in the orbit of the planet
2060: 2040: 1318: 1293: 1288: 1244: 1228: 1015: 991: 897: 717: 642: 331: 211: 7311: 5827:"Gravitational time delay of light for various models of modified gravity" 5472:"Gravity Probe B – Special & General Relativity Questions and Answers" 4588: 2896: 2631:, which was confirmed seven years later after a series of measurements by 951:, from which nothing—not even light—can escape once past the black hole's 7694: 7267: 6961: 3542: 3081: 3061: 3041: 2969:
the nature of gravity and events in the Universe including the Big Bang.
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causing any two bodies to be attracted toward each other, with magnitude
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The gravitational attraction between the original gaseous matter in the
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The Feynman Lectures on Physics Vol. I Ch. 7: The Theory of Gravitation
7084: 6839: 4298: 4294: 3696: 3546: 3429:"dict.cc dictionary :: gravitas :: English-Latin translation" 3333:, a theory where gravitons and gravitational waves have a non-zero mass 3324: 3249: 2992: 2974: 2816: 2807:
In 1971, scientists discovered the first-ever black hole in the galaxy
2774: 2704:, where the QFT description of gravity is that there is an exchange of 2577: 2250: 2246: 2160: 1722: 1648: 1580:{\displaystyle G_{\mu \nu }+\Lambda g_{\mu \nu }={\kappa }T_{\mu \nu }} 1201: 1143: 1093: 948: 502: 176: 7024: 6785: 5750:
Notes and Records: The Royal Society Journal of the History of Science
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Archimedes to Hawking: Laws of Science and the Great Minds Behind Them
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or low sub-surface densities. For purposes of weights and measures, a
2715:. However, this approach fails at short distances of the order of the 2535: 2392:{\displaystyle G_{\mu \nu }+\Lambda g_{\mu \nu }=\kappa T_{\mu \nu },} 28:"Gravitation" and "Law of Gravity" redirect here. For other uses, see 7913: 7895: 7699: 7676: 6459:"Nobel prize in physics awarded for discovery of gravitational waves" 4453: 4051: 4047:
Domingo de Soto and the Early Galileo: Essays on Intellectual History
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primarily observed as mutual attraction between all things that have
524: 6069:"Gravitational Waves Detected 100 Years After Einstein's Prediction" 5652: 5367:"This Is Why Scientists Will Never Exactly Solve General Relativity" 5091:"Surprise: the Big Bang isn't the beginning of the universe anymore" 4201:
The Edge of Objectivity: An Essay in the History of Scientific Ideas
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of the time elapsed. This was later confirmed by Italian scientists
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lines. The most extreme example of this curvature of spacetime is a
7970: 7780: 7773: 7300: 6506: 6401: 5762: 5426: 5397: 5314: 5298:"Einstein's 1917 Static Model of the Universe: A Centennial Review" 4867:"Einstein's greatest theory just passed its most rigorous test yet" 4100: 3687: 3550: 2831: 2808: 2790: 2708: 2672: 2573: 2100: 1910: 1750: 1224: 1131: 1086: 1011: 976: 944: 912: 443: 326: 301: 7000:
The Principia : mathematical principles of natural philosophy
6908: 6736: 6695: 6609:"What is Dark Energy? Inside our accelerating, expanding Universe" 6098:
Cantor, G.N.; Christie, J.R.R.; Hodge, M.J.S.; Olby, R.C. (2006).
6015:"NASA's Gravity Probe B Confirms Two Einstein Space-Time Theories" 5843: 5530:
Feynman, R.P.; Morinigo, F.B.; Wagner, W.G.; Hatfield, B. (1995).
5166: 955:. However, for most applications, gravity is well approximated by 7203: 4176: 2686: 2635:. It even showed that general relativity was incompatible with a 1469: 1255: 1208:
which contradicted Aristotle's teachings on the fall of bodies.
416: 269: 186: 2811:. The black hole was detected because it was emitting bursts of 2560:. Some of the most notable solutions of the equations include: 1310:, explained that gravitation applied to "all celestial bodies" 4758:"At Long Last, Gravity Probe B Satellite Proves Einstein Right" 2877: 2812: 2701: 2700:. The electromagnetic force arises from an exchange of virtual 1477: 1077: 880: 866: 858: 849:. As a result, it has no significant influence at the level of 475: 321: 231: 46: 4923:"How to understand Einstein's equation for general relativity" 4538:"Lecture 20: Black Holes – The Einstein Equivalence Principle" 1142:
should exert a gravitational attraction as well. In contrast,
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Huggett, Nick; Matsubara, Keizo; WĂŒthrich, Christian (2020).
2696:, which has been successful to accurately describe the other 1265:
between 1640 and 1650. They also calculated the magnitude of
1110: 999: 960: 311: 306: 248: 6637: 6579:"The Nobel Prize in Physics 2011 : Adam G. Riess Facts" 5587:
Warped Passages: Unraveling the Universe's Hidden Dimensions
4231: 3462:(illustrated ed.). Greenwood Publishing Group. p.  3389: â€“ study of the effects gravity has on living organisms 3377: â€“ Restatement of Newton's law of universal gravitation 1283:
Newton-Hooke priority controversy for the inverse square law
1034:) with the other three fundamental interactions of physics. 1014:
of the universe), possibly from a primeval state, such as a
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in 1915, which describes gravity not as a force, but as the
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I. Bernard Cohen (1999) . "A Guide to Newton's Principia".
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incorporating a causative force that diminishes over time.
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Halliday, David; Robert Resnick; Kenneth S. Krane (2001).
3371: â€“ Loss of planetary atmospheric gases to outer space 2815:
as it consumed a smaller star, and it came to be known as
2800:
passing close to a massive object was first identified by
5023:"Examples of Newtonian limits of relativistic spacetimes" 4954:"Exact Solutions to Einstein's Equations in Astrophysics" 3353: â€“ Use of circular rotational force to mimic gravity 1476:
used this theory to create a table modeling the orbit of
109:{\displaystyle {\textbf {F}}={\frac {d\mathbf {p} }{dt}}} 7108:"Everything you thought you knew about gravity is wrong" 6958:
McGraw-Hill Dictionary of Scientific and Technical Terms
5744:
Gilmore, Gerard; Tausch-Pebody, Gudrun (20 March 2022).
5500: 3777: 3738: 3149:(1912, 1913), an early competitor of general relativity. 2711:. This description reproduces general relativity in the 7198: 6679:"Support for the Thermal Origin of the Pioneer Anomaly" 6676: 6297:
Castelvecchi, Davide; Witze, Witze (11 February 2016).
6097: 4345:
The NIST Reference on Constants, Units, and Uncertainty
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Bakker, Frederik; Palmerino, Carla Rita (1 June 2020).
3612: 3359: â€“ Mathematical description of a body in free fall 3270:(TeVeS) (2004), a relativistic modification of MOND by 3161:(1922), another early competitor of general relativity. 3040:). The discrepancy between the curves is attributed to 2532:
is referred to as the Einstein gravitational constant.
1243:
is the reason that objects with a low density and high
7087:; Misner, Charles W.; Wheeler, John Archibald (1973). 6345:"WHAT ARE GRAVITATIONAL WAVES AND WHY DO THEY MATTER?" 5643: 5295: 4341:"2022 CODATA Value: Newtonian constant of gravitation" 4228:(Berkeley: University of California Press, 1979), 180. 3032:
Rotation curve of a typical spiral galaxy: predicted (
2723:(or a new approach to quantum mechanics) is required. 1443:
is the distance between the centers of the masses and
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Chinese scientists find evidence for speed of gravity
2627:. This solution was revolutionary for predicting the 2490: 2466: 2446: 2334: 2245:
which could not be explained by Newton's theory: the
1523: 1358: 73: 6137:
Nemiroff, R.; Bonnell, J., eds. (15 December 2014).
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Beyond Spacetime: The Foundations of Quantum Gravity
3488:"HubbleSite: Black Holes: Gravity's Relentless Pull" 3391:
Pages displaying wikidata descriptions as a fallback
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One path is to describe gravity in the framework of
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which was able to accurately model Mercury's orbit.
6854: 6811: 6760: 4018:. Vol. 2. Psychology Press. pp. 614–642. 4013: 5957:Physics and Astrophysics: Glimpses of the Progress 5711: 5577: 5531: 5296:O’Raifeartaigh, Cormac; O’Keeffe, Michael (2017). 4278:An Attempt to prove the Annual Motion of the Earth 3455: 3115: 2524: 2472: 2452: 2391: 1579: 1409: 1308:An Attempt to prove the Annual Motion of the Earth 108: 6296: 6177:. Arlington, Texas: S.A.W.E., Inc. Archived from 1272: 8065: 6997: 6956: 6901: 5960:(illustrated ed.). CRC Press. p. 106. 3781:Science and Mathematics in Ancient Greek Culture 3598: 2666: 6817: 6136: 4893:"Einstein Field Equations (General Relativity)" 4832: 4039: 4037: 4035: 3669: 2525:{\displaystyle \kappa ={\frac {8\pi G}{c^{4}}}} 1410:{\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}},} 7636:Degenerate Higher-Order Scalar-Tensor theories 6926: 6720:"Gravitational anomalies in the solar system?" 6299:"Einstein's gravitational waves found at last" 6290: 5451:"Hermeneutics of Classical General Relativity" 4638:Theory and Experiment in Gravitational Physics 4483:Webb, Joh; Dougan, Darren (23 November 2015). 4237: 3739:Reviel Neitz; William Noel (13 October 2011). 3398: â€“ Laws in physics about force and motion 3165: 3013: 2726: 1336:, which provided a physical justification for 1235:'s careful measurements of balls rolling down 7327: 7184: 5583: 4816:Exact Solutions to Einstein's Field Equations 4016:Encyclopedia of the History of Arabic Science 3510: 3383: â€“ Fundamental study of potential theory 2804:in 1964 in interplanetary spacecraft signals. 2547:A major area of research is the discovery of 2460:is the Newtonian constant of gravitation and 2222: 1348:Mathematical Principles of Natural Philosophy 1269:by measuring the oscillations of a pendulum. 798: 7044:Serway, Raymond A.; Jewett, John W. (2004). 6820:International Journal of Theoretical Physics 5609: 5607: 4256:Elements of the Philosophy of the Human Mind 4204:. Princeton University Press. pp. 3–6. 4032: 3319:the gravity and curved spacetime arise as a 2911:International Bureau of Weights and Measures 2617:Friedmann–LemaĂźtre–Robertson–Walker solution 1130:, gravity was a topic of fierce debate. The 927:Gravity is most accurately described by the 7341: 6860: 6766: 6363: 4535: 4333: 4293: 3993:. Princeton University Press. p. 260. 3556: 2315: 2249:of the orbit was increasing by about 42.98 1439:are the masses of the objects interacting, 1343:PhilosophiĂŠ Naturalis Principia Mathematica 7334: 7320: 7191: 7177: 6259: 6101:Companion to the History of Modern Science 4990:"The Schwarzchild Metric and Applications" 4482: 4307:. New York: Random House. pp. 52–58. 4287: 3613:Hofmann-Wellenhof, B.; Moritz, H. (2006). 3410: â€“ Zero apparent weight, microgravity 2929: 2568:, which describes spacetime surrounding a 2229: 2215: 805: 791: 49:in the photo are distorted due to gravity. 6907: 6886: 6802: 6784: 6735: 6724:International Journal of Modern Physics D 6694: 6532: 6418: 6400: 5953: 5925:"Black Holes Science Mission Directorate" 5842: 5771: 5761: 5678: 5604: 5425: 5313: 5165: 5144: 5054: 4818:. Cambridge University Press. p. 1. 4194: 4137: 3816: 3695: 1317:English physicist and mathematician, Sir 6863:"The MOND paradigm of modified dynamics" 5706: 4813: 4144:. Harvard University Press. p. 26. 3892: 3027: 2933: 2895: 2876: 2740: 2659:-body problem by using the technique of 2534: 1312: 1161: 1148: 1052: 40: 7940:Gravitational interaction of antimatter 6226: 6161: 6155: 5558: 5448: 4786: 4780: 4661: 4630: 4628: 4626: 4249: 4086: 4080: 4043: 3562: 3104: 1334:('On the motion of bodies in an orbit') 1215:published papers claiming that, due to 1211:The mid-16th century Italian physicist 8066: 7064: 6456: 6369: 5395: 5119: 5020: 4131: 3643:"The concept of gravity before Newton" 3404: â€“ Concept in celestial mechanics 3365: â€“ Concept in celestial mechanics 2921:weakest at the equator because of the 2552:that they should be expressable using 1472:. In that year, the French astronomer 7945:Physics in the medieval Islamic world 7868:(2+1)-dimensional topological gravity 7364:Newton's law of universal gravitation 7315: 7172: 7105: 6977: 6717: 6325:from the original on 12 February 2016 6265: 6041:""Frame-Dragging" in Local Spacetime" 5824: 4562: 4544:from the original on 8 September 2013 4431: 4371:"The Reception of Newton's Principia" 4273: 4158:from the original on 16 December 2021 3986: 3608: 3606: 3580:from the original on 16 November 2022 3531:from the original on 28 November 2018 3498:from the original on 26 December 2018 3453: 1491: 1325:In 1684, Newton sent a manuscript to 1279:Newton's law of universal gravitation 1196:priests in Italy, including those by 1180:at a faster rate. In particular, the 1049:resulting from the planet's rotation 957:Newton's law of universal gravitation 487:Newton's law of universal gravitation 7690:Asymptotic safety in quantum gravity 7047:Physics for Scientists and Engineers 6559:from the original on 17 October 2017 6351:from the original on 3 February 2016 6118:from the original on 17 January 2020 6057:from the original on 9 October 2022. 5402:-body problem in general relativity" 5201:from the original on 9 October 2022. 5134:from the original on 9 October 2022. 5071:from the original on 6 December 2022 4634: 4623: 3931: 3913:from the original on 18 January 2017 3893:Pickover, Clifford (16 April 2008). 3836:from the original on 13 October 2016 3798:from the original on 17 January 2020 3659:from the original on 9 October 2022. 3323:mode of non-relativistic background 2754:In 1919, the British astrophysicist 7029:. New York: John Wiley & Sons. 6469:from the original on 3 October 2017 6244:from the original on 10 August 2018 5277:from the original on 9 October 2022 5262: 5002:from the original on 9 October 2022 4970:from the original on 9 October 2022 4864: 4858: 4383:from the original on 9 October 2022 3961: 3942:from the original on 13 August 2021 3759:from the original on 7 January 2020 3435:from the original on 13 August 2021 3066:modifications to Newtonian dynamics 2980: 2320:The Einstein field equations are a 1247:fall more slowly in an atmosphere. 967:to the product of their masses and 468:Mechanics of planar particle motion 76: 13: 7442:Gibbons–Hawking–York boundary term 6991: 6619:from the original on 19 March 2024 6438:from the original on 8 August 2018 6266:Clark, Stuart (11 February 2016). 5895:"The Fate of the First Black Hole" 5561:Quantum Field Theory in a Nutshell 5364: 4708:from the original on 18 April 2017 4138:Schilling, Govert (31 July 2017). 3603: 3111:Alternatives to general relativity 3084:has been proposed to explain this. 2872: 2758:was able to confirm the predicted 2719:, where a more complete theory of 2351: 2295: 1540: 1498:Introduction to general relativity 857:, and it determines the motion of 14: 8100: 7557:Modified Newtonian dynamics, MOND 7473:Classical theories of gravitation 7121: 6278:from the original on 22 June 2018 6234:"The Nobel Prize in Physics 1993" 5935:from the original on 8 April 2023 5120:Norebo, Jonatan (16 March 2016). 4951: 4865:Lea, Robert (15 September 2022). 4611:from the original on 8 April 2023 4513:. black-holes.org. Archived from 4321:from the original on 15 June 2021 4068:from the original on 16 June 2021 3778:CJ Tuplin, Lewis Wolpert (2002). 3640: 3516: 3259:Nonsymmetric gravitational theory 3231:of motion for small accelerations 3159:Whitehead's theory of gravitation 3147:Nordström's theory of gravitation 1338:Kepler's laws of planetary motion 8051: 8039: 8027: 8015: 8003: 7991: 7106:Panek, Richard (2 August 2019). 6589:from the original on 28 May 2020 6457:Devlin, Hanna (3 October 2017). 6079:from the original on 27 May 2019 6021:from the original on 22 May 2013 5995:from the original on 25 May 2022 5985:"Hubble, Hubble, Seeing Double!" 5905:from the original on 31 May 2022 5875:from the original on 29 May 2022 5806:from the original on 14 May 2022 5687:from the original on 15 May 2020 5625:from the original on 16 May 2022 5482:from the original on 6 June 2022 5377:from the original on 27 May 2022 5346:from the original on 29 May 2022 5101:from the original on 26 May 2022 4933:from the original on 26 May 2022 4903:from the original on 25 May 2022 4768:from the original on 22 May 2022 4738:from the original on 22 May 2022 4678:from the original on 25 May 2022 4491:from the original on 21 May 2022 3402:Standard gravitational parameter 2196: 2195: 2182: 1512: 1071: 772: 771: 758: 91: 7379:History of gravitational theory 6895: 6711: 6670: 6631: 6601: 6571: 6541: 6500: 6481: 6450: 6347:. popsci.com. 13 January 2016. 6337: 6196: 6130: 6091: 6061: 6033: 6007: 5977: 5947: 5917: 5887: 5825:Asada, Hideki (20 March 2008). 5818: 5788: 5737: 5700: 5637: 5552: 5534:Feynman lectures on gravitation 5523: 5494: 5464: 5449:Sleator, Daniel (6 June 1996). 5442: 5389: 5358: 5302:The European Physical Journal H 5289: 5256: 5214:Journal of Mathematical Physics 5205: 5145:Teukolsky, Saul (1 June 2015). 5138: 5122:"The Reissner-Nordström metric" 5113: 5083: 5014: 4982: 4945: 4915: 4885: 4807: 4750: 4720: 4690: 4662:Lindley, David (12 July 2005). 4655: 4563:Brush, S. G. (1 January 1999). 4556: 4529: 4503: 4476: 4425: 4413:from the original on 6 May 2022 4403:"This Month in Physics History" 4395: 4363: 4243: 4218: 4188: 4170: 4007: 3980: 3954: 3925: 3886: 3848: 3810: 3771: 3732: 3720:from the original on 2 May 2022 3127:Le Sage's theory of gravitation 3116:Historical alternative theories 1109:In the seventh century CE, the 1067:History of gravitational theory 959:, which describes gravity as a 34:Law of Gravity (disambiguation) 16:Attraction of masses and energy 7685:Causal dynamical triangulation 7374:Poisson's equation for gravity 7069:(5th ed.). W.H. Freeman. 6705:10.1103/PhysRevLett.108.241101 6656:10.1103/PhysRevLett.100.091102 6420:10.1103/PhysRevLett.119.161101 5861:10.1016/j.physletb.2008.02.006 5563:. Princeton University Press. 5184:10.1088/0264-9381/32/12/124006 5056:11858/00-001M-0000-0013-5AC5-F 4873:. Springer Nature America, Inc 4565:"Why was Relativity Accepted?" 4511:"Gravity and Warped Spacetime" 3663: 3634: 3592: 3480: 3447: 3421: 3122:Aristotelian theory of gravity 2828:Kitt Peak National Observatory 2623:and then confirmed in 1927 by 2326:partial differential equations 1306:Hooke's 1674 Gresham lecture, 1273:Newton's theory of gravitation 1037: 1: 7050:(6th ed.). Brooks/Cole. 6372:LIGO Scientific Collaboration 5154:Classical and Quantum Gravity 4961:University of Texas at Dallas 4846:. Science Daily. 25 July 2019 4702:hyperphysics.phy-astr.gsu.edu 4044:Wallace, William A. (2018) . 3824:. In Alfred A. Howard (ed.). 3415: 3052:: Stars in galaxies follow a 2915:International System of Units 2785:to confirm the prediction of 2769:In 1959, American physicists 2667:Gravity and quantum mechanics 2558:linear differential equations 1188:wrote in 1551 that bodies in 1113:mathematician and astronomer 845:and 10 times weaker than the 394:Koopman–von Neumann mechanics 6370:Abbott, B. P.; et al. ( 6144:Astronomy Picture of the Day 6139:"The Potsdam Gravity Potato" 5615:"Testing General Relativity" 4238:Gribbin & Gribbin (2017) 3987:Starr, S. Frederick (2015). 3745:. Hachette UK. p. 125. 3357:Equations for a falling body 3310:Gravity as an entropic force 3268:Tensor–vector–scalar gravity 3137:Ritz's theory of gravitation 2867: 1176:notion that heavier objects 1010:(up to 10 seconds after the 929:general theory of relativity 891:is responsible for sublunar 462:Non-inertial reference frame 30:Gravitation (disambiguation) 7: 7547:Infinite derivative gravity 7157:Encyclopedia of Mathematics 7139:Encyclopedia of Mathematics 6934:. London: William Collins. 6769:"Jordan–Brans–Dicke Theory" 6718:Iorio, Lorenzo (May 2015). 6497:, astrowatch.com, 12/28/12. 6166:Precise Measurement of Mass 5047:10.1088/0264-9381/14/1A/010 4698:"Hafele-Keating Experiment" 4196:Gillispie, Charles Coulston 3932:Bose, Mainak Kumar (1988). 3899:. Oxford University Press. 3826:De Architectura libri decem 3784:. Hachette UK. p. xi. 3337: 3227:proposes a modification of 3221:modified Newtonian dynamics 3166:Modern alternative theories 3014:Anomalies and discrepancies 2851:observatory detected faint 2787:gravitational time dilation 2733:Tests of general relativity 2727:Tests of general relativity 2589:Reissner–Nordström solution 1693:Gravitational time dilation 1050: 841:, 10 times weaker than the 389:Appell's equation of motion 259:Inertial frame of reference 10: 8105: 7735:Unified-field-theoric and 6960:(4th ed.), New York: 6919: 6888:10.4249/scholarpedia.31410 6804:10.4249/scholarpedia.31358 6767:Brans, C.H. (March 2014). 6204:"Curious About Astronomy?" 6104:. Routledge. p. 448. 5929:webarchive.library.unt.edu 5800:homepage.physics.uiowa.edu 5507:Cambridge University Press 5332:10.1140/epjh/e2017-80002-5 4793:. CRC Press. p. 131. 4635:Will, Clifford M. (2018). 3966:. Allen Lane. p. 29. 3617:(2nd ed.). Springer. 3108: 3054:distribution of velocities 3017: 2984: 2945: 2885: 2859:that occurred 1.5 billion 2730: 2670: 1813:Mathisson–Papapetrou–Dixon 1654:Pseudo-Riemannian manifold 1495: 1276: 1165: 1064: 1060: 45:The shapes of two massive 27: 18: 7958: 7890: 7878:Jackiw–Teitelboim gravity 7848: 7734: 7713: 7657:Canonical quantum gravity 7652:Euclidean quantum gravity 7644: 7491: 7465: 7454: 7387: 7356: 7349: 7281: 7260: 7210: 6861:Milgrom, M. (June 2014). 6746:10.1142/S0218271815300153 6534:10.1007/s11434-012-5603-3 6311:10.1038/nature.2016.19361 6162:Boynton, Richard (2001). 5718:. John Wiley & Sons. 5714:Gravitation and cosmology 5651:; Davidson, C.R. (1920). 5406:The Astrophysical Journal 5396:Spyrou, N. (1 May 1975). 5027:Classical Quantum Gravity 4641:. Cambridge Univ. Press. 4540:. University of Alberta. 3938:. A. Mukherjee & Co. 3830:Ten Books on Architecture 3454:Krebs, Robert E. (1999). 3080:seems to be speeding up. 3078:expansion of the universe 2764:that year's solar eclipse 2629:expansion of the Universe 1332:De motu corporum in gyrum 996:gravitational singularity 8079:Fundamental interactions 7754:Superfluid vacuum theory 7578:Nonsymmetric gravitation 7427:Post-Newtonian formalism 7200:Fundamental interactions 7152:"Gravitation, theory of" 6930:; Gribbin, Mary (2017). 6549:"GW170817 Press Release" 6513:Chinese Science Bulletin 5658:Phil. Trans. Roy. Soc. A 5265:"RELATIVISTIC COSMOLOGY" 4054:. pp. 119, 121–22. 3964:The Argumentative Indian 3875:22 December 2023 at the 3818:Vitruvius, Marcus Pollio 3317:superfluid vacuum theory 3068:have also been proposed. 3060:show a similar pattern. 3018:Not to be confused with 2909:value is defined by the 2698:fundamental interactions 2661:post-Newtonian expansion 2619:, discovered in 1922 by 2316:Einstein field equations 2310:Einstein field equations 1818:Hamilton–Jacobi–Einstein 1798:Einstein field equations 1621:Mathematical formulation 552:Rotating reference frame 384:Hamilton–Jacobi equation 21:Gravity (disambiguation) 7919:Mechanical explanations 7788:Heterotic string theory 7744:Noncommutative geometry 7663:Wheeler–DeWitt equation 7389:General relativity (GR) 7369:Gauss's law for gravity 7343:Theories of gravitation 7235:Electroweak interaction 6683:Physical Review Letters 6644:Physical Review Letters 6388:Physical Review Letters 5021:Ehlers, Jurgen (1997). 4814:Stephani, Hans (2003). 4787:Hassani, Sadri (2010). 3599:McGraw-Hill Dict (1989) 3519:"Birth of the Universe" 3396:Newton's laws of motion 3381:Gravitational potential 3375:Gauss's law for gravity 3236:self-creation cosmology 2930:Gravitational radiation 2539:An illustration of the 2280:Einstein proposed that 1006:, developed during the 906:multicellular organisms 831:fundamental interaction 493:Newton's laws of motion 353:Newton's laws of motion 7760:Logarithmic BEC vacuum 7705:Rainbow gravity theory 7583:Scalar–tensor theories 7357:Newtonian gravity (NG) 6978:Hooke, Robert (1679). 6493:8 January 2013 at the 5773:10.1098/rsnr.2020.0040 5680:10.1098/rsta.1920.0009 5584:Randall, Lisa (2005). 4569:Physics in Perspective 3190:quantum field theories 3180:(1967), a proposal by 3045: 2959:Nobel Prize in Physics 2943: 2901: 2883: 2750: 2566:Schwarzschild solution 2544: 2526: 2474: 2454: 2393: 2258:developed a theory of 1688:Gravitational redshift 1581: 1451:gravitational constant 1411: 1322: 1304: 1221:Delft tower experiment 1213:Giambattista Benedetti 1158: 1053:§ Earth's gravity 998:, along with ordinary 969:inversely proportional 520:Simple harmonic motion 433:Euler's laws of motion 227:D'Alembert's principle 110: 50: 7837:Twistor string theory 7816:Type II string theory 7809:Bosonic string theory 7749:Semiclassical gravity 7714:Unified-field-theoric 7499:PoincarĂ© gauge theory 7296:Philosophy of physics 7065:Tipler, Paul (2004). 5476:einstein.stanford.edu 4929:. 15 September 2021. 4897:University of Warwick 4664:"The Weight of Light" 4589:10.1007/s000160050015 3962:Sen, Amartya (2005). 3387:Gravitational biology 3321:collective excitation 3131:Georges-Louis Le Sage 3073:Accelerated expansion 3031: 3005:In October 2017, the 2937: 2899: 2880: 2760:gravitational lensing 2744: 2570:spherically symmetric 2538: 2527: 2475: 2455: 2438:cosmological constant 2394: 2271:equivalence principle 1976:Weyl−Lewis−Papapetrou 1931:Kerr–Newman–de Sitter 1751:Einstein–Rosen bridge 1683:Gravitational lensing 1639:Equivalence principle 1582: 1412: 1316: 1299: 1168:Scientific revolution 1162:Scientific revolution 1155:Leaning Tower of Pisa 1152: 843:electromagnetic force 829: 'weight') is a 374:Hamiltonian mechanics 192:Statistical mechanics 111: 44: 7904:Aristotelian physics 7873:Gauss–Bonnet gravity 7823:Little string theory 7802:Type 0 string theory 7795:Type I string theory 7670:Loop quantum gravity 7597:Scalar–tensor–vector 7570:Tensor–vector–scalar 7525:Gauge theory gravity 7483:Theory of everything 5665:(571–581): 291–333. 3935:Late classical India 3524:University of Oregon 3242:Loop quantum gravity 3105:Alternative theories 2694:quantum field theory 2607:Kerr–Newman solution 2554:elementary functions 2541:Schwarzschild metric 2488: 2464: 2444: 2430:stress–energy tensor 2332: 1906:Einstein–Rosen waves 1632:Fundamental concepts 1521: 1356: 1032:theory of everything 900:and influencing the 597:Angular acceleration 589:Rotational frequency 369:Lagrangian mechanics 362:Analytical mechanics 118:Second law of motion 71: 19:For other uses, see 7721:Kaluza–Klein theory 7286:Glossary of physics 7261:Hypothetical forces 7113:The Washington Post 6879:2014SchpJ...931410M 6832:1974IJTP...10..363H 6795:2014Schpj...931358B 6525:2013ChSBu..58..474T 6411:2017PhRvL.119p1101A 6376:Virgo Collaboration 6240:. 13 October 1993. 6184:on 27 February 2007 6175:Sawe Paper No. 3147 6048:Stanford University 5991:. 24 January 2014. 5973:Extract of page 106 5853:2008PhLB..661...78A 5671:1920RSPTA.220..291D 5418:1975ApJ...197..725S 5324:2017EPJH...42..431O 5226:1965JMP.....6..918N 5176:2015CQGra..32l4006T 5097:. 13 October 2021. 5039:1997CQGra..14A.119E 4871:Scientific American 4581:1999PhP.....1..184B 4446:1986Natur.320...39N 3566:(10 October 2022). 3229:Newton's second law 3184:according to which 3153:Kaluza–Klein theory 2954:Hulse–Taylor binary 2853:gravitational waves 2798:time delay of light 2781:in which they used 2747:total solar eclipse 2621:Alexander Friedmann 1860:Kaluza–Klein theory 1746:Minkowski spacetime 1698:Gravitational waves 1267:the Earth's gravity 1200:, Francesco Beato, 851:subatomic particles 449:Harmonic oscillator 427:Equations of motion 62:Classical mechanics 56:Part of a series on 7966:Gravitational wave 7849:Generalisations / 7737:quantum-mechanical 7645:Quantum-mechanical 7458:general relativity 7432:Linearized gravity 7220:Strong interaction 6840:10.1007/BF01807638 6553:LIGO Lab – Caltech 6378:) (October 2017). 6208:Cornell University 5954:Subal Kar (2022). 5538:. Addison-Wesley. 3650:Culture and Cosmos 3573:The New York Times 3369:Atmospheric escape 3351:Artificial gravity 3186:general relativity 3172:Brans–Dicke theory 3046: 3002:in February 2013. 2948:Gravitational wave 2944: 2902: 2884: 2824:gravitational lens 2751: 2649:binary star system 2545: 2522: 2470: 2450: 2389: 2260:general relativity 2189:Physics portal 1961:Oppenheimer–Snyder 1901:Reissner–Nordström 1793:Linearized gravity 1741:Spacetime diagrams 1644:Special relativity 1577: 1506:General relativity 1492:General relativity 1407: 1323: 1159: 982:Current models of 839:strong interaction 765:Physics portal 379:Routhian mechanics 254:Frame of reference 106: 51: 7979: 7978: 7950:Theory of impetus 7886: 7885: 7858:Liouville gravity 7602:Conformal gravity 7530:Composite gravity 7520:Bimetric theories 7450: 7449: 7309: 7308: 7098:978-0-7167-0344-0 7076:978-0-7167-0809-4 7057:978-0-534-40842-8 7036:978-0-471-32057-9 6941:978-0-00-822059-4 6111:978-1-134-97751-2 5967:978-1-000-55926-2 5831:Physics Letters B 5597:978-0-06-053108-9 5570:978-0-691-01019-9 5545:978-0-201-62734-3 5234:10.1063/1.1704351 5147:"The Kerr metric" 4825:978-0-521-46136-8 4732:Discover Magazine 4536:Dmitri Pogosyan. 4314:978-0-3078-0105-0 4061:978-1-351-15959-3 3973:978-0-7139-9687-6 3881:Walter de Gruyter 3791:978-0-19-815248-4 3752:978-1-78022-198-4 3624:978-3-211-33544-4 3473:978-0-313-30226-8 3305:Conformal gravity 3295:Olivier Minazzoli 3188:might arise from 3174:of gravity (1961) 2996:were released in 2923:centrifugal force 2857:black hole merger 2683:quantum mechanics 2520: 2473:{\displaystyle c} 2453:{\displaystyle G} 2275:Newtonian physics 2239: 2238: 1872: 1871: 1758: 1757: 1486:Urbain Le Verrier 1402: 1184:Dominican priest 1098:center of gravity 1047:centrifugal force 1028:quantum mechanics 855:macroscopic scale 815: 814: 562:Centrifugal force 557:Centripetal force 513:Euler's equations 498:Relative velocity 274:Moment of inertia 104: 78: 8096: 8056: 8055: 8054: 8044: 8043: 8042: 8032: 8031: 8030: 8020: 8019: 8008: 8007: 8006: 7996: 7995: 7987: 7934: 7932:Entropic gravity 7927: 7851:extensions of GR 7839: 7825: 7818: 7811: 7804: 7797: 7790: 7783: 7776: 7762: 7679: 7672: 7665: 7626:Geometrodynamics 7615: 7591: 7572: 7565: 7514: 7507: 7463: 7462: 7354: 7353: 7336: 7329: 7322: 7313: 7312: 7291:Particle physics 7245:electromagnetism 7240:weak interaction 7193: 7186: 7179: 7170: 7169: 7165: 7147: 7117: 7102: 7091:. W.H. Freeman. 7080: 7061: 7040: 7021: 6986: 6974: 6953: 6914: 6913: 6911: 6899: 6893: 6892: 6890: 6858: 6852: 6851: 6815: 6809: 6808: 6806: 6788: 6764: 6758: 6757: 6739: 6715: 6709: 6708: 6698: 6674: 6668: 6667: 6635: 6629: 6628: 6626: 6624: 6613:science.nasa.gov 6605: 6599: 6598: 6596: 6594: 6575: 6569: 6568: 6566: 6564: 6545: 6539: 6538: 6536: 6519:(4–5): 474–477. 6504: 6498: 6485: 6479: 6478: 6476: 6474: 6454: 6448: 6447: 6445: 6443: 6437: 6422: 6404: 6384: 6367: 6361: 6360: 6358: 6356: 6341: 6335: 6334: 6332: 6330: 6294: 6288: 6287: 6285: 6283: 6263: 6257: 6256: 6251: 6249: 6238:Nobel Foundation 6230: 6224: 6223: 6221: 6219: 6210:. 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(2003). 5556: 5550: 5549: 5537: 5527: 5521: 5520: 5498: 5492: 5491: 5489: 5487: 5468: 5462: 5461: 5459: 5457: 5446: 5440: 5439: 5429: 5393: 5387: 5386: 5384: 5382: 5362: 5356: 5355: 5353: 5351: 5317: 5293: 5287: 5286: 5284: 5282: 5276: 5269: 5260: 5254: 5253: 5209: 5203: 5202: 5200: 5169: 5151: 5142: 5136: 5135: 5133: 5126: 5117: 5111: 5110: 5108: 5106: 5087: 5081: 5080: 5078: 5076: 5058: 5018: 5012: 5011: 5009: 5007: 5001: 4994: 4986: 4980: 4979: 4977: 4975: 4969: 4958: 4952:Ishak, Mustafa. 4949: 4943: 4942: 4940: 4938: 4919: 4913: 4912: 4910: 4908: 4889: 4883: 4882: 4880: 4878: 4862: 4856: 4855: 4853: 4851: 4836: 4830: 4829: 4811: 4805: 4804: 4784: 4778: 4777: 4775: 4773: 4754: 4748: 4747: 4745: 4743: 4724: 4718: 4717: 4715: 4713: 4694: 4688: 4687: 4685: 4683: 4659: 4653: 4652: 4632: 4621: 4620: 4618: 4616: 4560: 4554: 4553: 4551: 4549: 4533: 4527: 4526: 4524: 4522: 4507: 4501: 4500: 4498: 4496: 4480: 4474: 4473: 4454:10.1038/320039a0 4429: 4423: 4422: 4420: 4418: 4399: 4393: 4392: 4390: 4388: 4382: 4375: 4367: 4361: 4360: 4358: 4356: 4337: 4331: 4330: 4328: 4326: 4291: 4285: 4271: 4265: 4264: 4247: 4241: 4235: 4229: 4222: 4216: 4215: 4192: 4186: 4182:Two New Sciences 4174: 4168: 4167: 4165: 4163: 4135: 4129: 4128: 4084: 4078: 4077: 4075: 4073: 4050:. Abingdon, UK: 4041: 4030: 4029: 4011: 4005: 4004: 3984: 3978: 3977: 3958: 3952: 3951: 3949: 3947: 3929: 3923: 3922: 3920: 3918: 3890: 3884: 3852: 3846: 3845: 3843: 3841: 3814: 3808: 3807: 3805: 3803: 3775: 3769: 3768: 3766: 3764: 3736: 3730: 3729: 3727: 3725: 3699: 3667: 3661: 3660: 3658: 3647: 3641:Cappi, Alberto. 3638: 3632: 3631: 3615:Physical Geodesy 3610: 3601: 3596: 3590: 3589: 3587: 3585: 3560: 3554: 3540: 3538: 3536: 3514: 3508: 3507: 3505: 3503: 3484: 3478: 3477: 3461: 3451: 3445: 3444: 3442: 3440: 3425: 3392: 3291:Pressuron theory 3277:Chameleon theory 3272:Jacob Bekenstein 3261:(NGT) (1994) by 3225:Mordehai Milgrom 3208:Horndeski theory 3141:Ann. Chem. Phys. 3050:Extra-fast stars 3036:) and observed ( 2999:Science Bulletin 2987:Speed of gravity 2981:Speed of gravity 2907:standard gravity 2888:Gravity of Earth 2844:results in 2011. 2802:Irwin I. Shapiro 2762:of light during 2756:Arthur Eddington 2645:two-body problem 2625:Georges LemaĂźtre 2531: 2529: 2528: 2523: 2521: 2519: 2518: 2509: 2498: 2479: 2477: 2476: 2471: 2459: 2457: 2456: 2451: 2435: 2427: 2416: 2405: 2398: 2396: 2395: 2390: 2385: 2384: 2366: 2365: 2347: 2346: 2231: 2224: 2217: 2204: 2199: 2198: 2191: 2187: 2186: 1971:van Stockum dust 1956:Robertson–Walker 1782: 1781: 1672: 1671: 1586: 1584: 1583: 1578: 1576: 1575: 1563: 1555: 1554: 1536: 1535: 1516: 1502: 1501: 1482:John Couch Adams 1459: 1457: 1448: 1442: 1438: 1429: 1420: 1416: 1414: 1413: 1408: 1403: 1401: 1400: 1391: 1390: 1389: 1380: 1379: 1369: 1217:specific gravity 1198:Benedetto Varchi 1123:to describe it. 1056: 1024:virtual particle 984:particle physics 885:physical objects 879:, gravity gives 847:weak interaction 807: 800: 793: 780: 775: 774: 767: 763: 762: 668:Johann Bernoulli 663:Daniel Bernoulli 584:Tangential speed 488: 464: 439:Fictitious force 434: 286:Mechanical power 276: 217:Angular momentum 115: 113: 112: 107: 105: 103: 95: 94: 85: 80: 79: 53: 52: 8104: 8103: 8099: 8098: 8097: 8095: 8094: 8093: 8064: 8063: 8062: 8052: 8050: 8040: 8038: 8028: 8026: 8014: 8004: 8002: 7990: 7982: 7980: 7975: 7954: 7930: 7923: 7894: 7892: 7882: 7863:Lovelock theory 7850: 7844: 7835: 7821: 7814: 7807: 7800: 7793: 7786: 7779: 7772: 7758: 7736: 7730: 7709: 7675: 7668: 7661: 7640: 7631:Induced gravity 7611: 7607:Scalar theories 7587: 7568: 7561: 7552:Massive gravity 7512:Teleparallelism 7510: 7505:Einstein–Cartan 7503: 7487: 7478:Quantum gravity 7457: 7456:Alternatives to 7446: 7412:Exact solutions 7383: 7345: 7340: 7310: 7305: 7277: 7256: 7212:Physical forces 7206: 7197: 7150: 7132: 7124: 7099: 7077: 7058: 7037: 7010: 6994: 6992:Further reading 6989: 6972: 6942: 6922: 6917: 6900: 6896: 6859: 6855: 6826:(10): 363–384. 6816: 6812: 6765: 6761: 6716: 6712: 6675: 6671: 6636: 6632: 6622: 6620: 6607: 6606: 6602: 6592: 6590: 6577: 6576: 6572: 6562: 6560: 6547: 6546: 6542: 6505: 6501: 6495:Wayback Machine 6486: 6482: 6472: 6470: 6455: 6451: 6441: 6439: 6435: 6382: 6368: 6364: 6354: 6352: 6343: 6342: 6338: 6328: 6326: 6295: 6291: 6281: 6279: 6264: 6260: 6247: 6245: 6232: 6231: 6227: 6217: 6215: 6214:on 28 July 2013 6202: 6201: 6197: 6187: 6185: 6181: 6170: 6160: 6156: 6135: 6131: 6121: 6119: 6112: 6096: 6092: 6082: 6080: 6067: 6066: 6062: 6054: 6043: 6039: 6038: 6034: 6024: 6022: 6013: 6012: 6008: 5998: 5996: 5983: 5982: 5978: 5968: 5952: 5948: 5938: 5936: 5923: 5922: 5918: 5908: 5906: 5899:www.science.org 5893: 5892: 5888: 5878: 5876: 5823: 5819: 5809: 5807: 5794: 5793: 5789: 5742: 5738: 5733: 5726: 5705: 5701: 5690: 5688: 5649:Eddington, A.S. 5642: 5638: 5628: 5626: 5613: 5612: 5605: 5598: 5582: 5578: 5571: 5557: 5553: 5546: 5528: 5524: 5517: 5499: 5495: 5485: 5483: 5470: 5469: 5465: 5455: 5453: 5447: 5443: 5394: 5390: 5380: 5378: 5365:Siegel, Ethan. 5363: 5359: 5349: 5347: 5294: 5290: 5280: 5278: 5274: 5267: 5261: 5257: 5210: 5206: 5198: 5149: 5143: 5139: 5131: 5124: 5118: 5114: 5104: 5102: 5089: 5088: 5084: 5074: 5072: 5033:(1A): 122–123. 5019: 5015: 5005: 5003: 4999: 4992: 4988: 4987: 4983: 4973: 4971: 4967: 4956: 4950: 4946: 4936: 4934: 4921: 4920: 4916: 4906: 4904: 4891: 4890: 4886: 4876: 4874: 4863: 4859: 4849: 4847: 4838: 4837: 4833: 4826: 4812: 4808: 4801: 4785: 4781: 4771: 4769: 4762:www.science.org 4756: 4755: 4751: 4741: 4739: 4726: 4725: 4721: 4711: 4709: 4696: 4695: 4691: 4681: 4679: 4660: 4656: 4649: 4633: 4624: 4614: 4612: 4561: 4557: 4547: 4545: 4534: 4530: 4520: 4518: 4517:on 21 June 2011 4509: 4508: 4504: 4494: 4492: 4481: 4477: 4440:(6057): 39–41. 4430: 4426: 4416: 4414: 4401: 4400: 4396: 4386: 4384: 4380: 4373: 4369: 4368: 4364: 4354: 4352: 4339: 4338: 4334: 4324: 4322: 4315: 4292: 4288: 4272: 4268: 4251:Stewart, Dugald 4248: 4244: 4236: 4232: 4224:J.L. Heilbron, 4223: 4219: 4212: 4193: 4189: 4175: 4171: 4161: 4159: 4152: 4136: 4132: 4085: 4081: 4071: 4069: 4062: 4042: 4033: 4026: 4012: 4008: 4001: 3985: 3981: 3974: 3959: 3955: 3945: 3943: 3930: 3926: 3916: 3914: 3907: 3891: 3887: 3877:Wayback Machine 3853: 3849: 3839: 3837: 3815: 3811: 3801: 3799: 3792: 3776: 3772: 3762: 3760: 3753: 3737: 3733: 3723: 3721: 3668: 3664: 3656: 3645: 3639: 3635: 3625: 3611: 3604: 3597: 3593: 3583: 3581: 3564:Overbye, Dennis 3561: 3557: 3553:of the Universe 3534: 3532: 3515: 3511: 3501: 3499: 3486: 3485: 3481: 3474: 3452: 3448: 3438: 3436: 3427: 3426: 3422: 3418: 3413: 3390: 3363:Escape velocity 3340: 3331:Massive gravity 3223:(MOND) (1981), 3182:Andrei Sakharov 3178:Induced gravity 3168: 3118: 3113: 3107: 3098:Pioneer anomaly 3096:maneuvers. The 3058:galaxy clusters 3023: 3020:Gravity anomaly 3016: 2989: 2983: 2950: 2932: 2890: 2875: 2873:Earth's gravity 2870: 2842:Gravity Probe B 2735: 2729: 2721:quantum gravity 2713:classical limit 2679: 2677:Quantum gravity 2671:Main articles: 2669: 2637:static universe 2580:with a central 2549:exact solutions 2514: 2510: 2499: 2497: 2489: 2486: 2485: 2484:. The constant 2465: 2462: 2461: 2445: 2442: 2441: 2433: 2426: 2422: 2415: 2411: 2408:Einstein tensor 2404: 2400: 2377: 2373: 2358: 2354: 2339: 2335: 2333: 2330: 2329: 2318: 2298: 2296:Modern research 2256:Albert Einstein 2235: 2194: 2181: 2180: 2173: 2172: 1996: 1995: 1986: 1985: 1941:LemaĂźtre–Tolman 1886: 1885: 1874: 1873: 1865:Quantum gravity 1852:Advanced theory 1779: 1778: 1777: 1760: 1759: 1708:Geodetic effect 1669: 1668: 1659: 1658: 1634: 1633: 1617: 1587: 1568: 1564: 1559: 1547: 1543: 1528: 1524: 1522: 1519: 1518: 1500: 1494: 1455: 1453: 1444: 1440: 1437: 1431: 1428: 1422: 1418: 1396: 1392: 1385: 1381: 1375: 1371: 1370: 1368: 1357: 1354: 1353: 1285: 1277:Main articles: 1275: 1233:Galileo Galilei 1186:Domingo de Soto 1170: 1164: 1140:heavenly bodies 1126:In the ancient 1103:De architectura 1096:discovered the 1074: 1069: 1063: 1044: 1040: 988:quantum gravity 933:Albert Einstein 811: 770: 757: 756: 749: 748: 747: 622: 614: 613: 593: 547:Circular motion 541: 531: 530: 529: 486: 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5756:(1): 155–180. 5736: 5731: 5724: 5699: 5636: 5619:NASA Blueshift 5603: 5596: 5576: 5569: 5551: 5544: 5522: 5515: 5493: 5463: 5441: 5427:10.1086/153562 5388: 5357: 5288: 5255: 5220:(6): 918–919. 5204: 5160:(12): 124006. 5137: 5112: 5082: 5013: 4995:. p. 36. 4981: 4944: 4914: 4884: 4857: 4831: 4824: 4806: 4799: 4779: 4749: 4719: 4689: 4654: 4647: 4622: 4575:(2): 184–214. 4555: 4528: 4502: 4475: 4424: 4394: 4362: 4332: 4313: 4286: 4266: 4242: 4230: 4217: 4210: 4187: 4169: 4150: 4130: 4101:10.1086/349706 4095:(2): 259–262. 4079: 4060: 4031: 4024: 4006: 3999: 3979: 3972: 3953: 3924: 3905: 3885: 3847: 3809: 3790: 3770: 3751: 3731: 3688:10.1086/709138 3682:(2): 217–238. 3662: 3633: 3623: 3602: 3591: 3555: 3551:very beginning 3509: 3492:hubblesite.org 3479: 3472: 3446: 3419: 3417: 3414: 3412: 3411: 3408:Weightlessness 3405: 3399: 3393: 3384: 3378: 3372: 3366: 3360: 3354: 3348: 3341: 3339: 3336: 3335: 3334: 3328: 3313: 3307: 3302: 3288: 3285:Amanda Weltman 3274: 3265: 3256: 3254:Abhay Ashtekar 3239: 3232: 3217: 3211: 3205: 3199: 3193: 3175: 3167: 3164: 3163: 3162: 3156: 3150: 3144: 3134: 3124: 3117: 3114: 3109:Main article: 3106: 3103: 3102: 3101: 3094:gravity assist 3085: 3069: 3015: 3012: 2985:Main article: 2982: 2979: 2946:Main article: 2931: 2928: 2886:Main article: 2874: 2871: 2869: 2866: 2865: 2864: 2845: 2838:Frame dragging 2835: 2820: 2805: 2794: 2767: 2731:Main article: 2728: 2725: 2668: 2665: 2641: 2640: 2610: 2603: 2596: 2593:event horizons 2585: 2517: 2513: 2508: 2505: 2502: 2496: 2493: 2482:speed of light 2469: 2449: 2424: 2413: 2402: 2388: 2383: 2380: 2376: 2372: 2369: 2364: 2361: 2357: 2353: 2350: 2345: 2342: 2338: 2317: 2314: 2302:modern physics 2297: 2294: 2237: 2236: 2234: 2233: 2226: 2219: 2211: 2208: 2207: 2206: 2205: 2192: 2175: 2174: 2171: 2170: 2163: 2158: 2153: 2148: 2143: 2138: 2133: 2128: 2123: 2118: 2113: 2108: 2103: 2098: 2093: 2088: 2083: 2078: 2073: 2068: 2063: 2058: 2053: 2048: 2043: 2038: 2033: 2028: 2023: 2018: 2013: 2008: 2003: 1997: 1993: 1992: 1991: 1988: 1987: 1984: 1983: 1978: 1973: 1968: 1963: 1958: 1953: 1948: 1943: 1938: 1933: 1928: 1923: 1918: 1913: 1908: 1903: 1898: 1887: 1881: 1880: 1879: 1876: 1875: 1870: 1869: 1868: 1867: 1862: 1854: 1853: 1849: 1848: 1847: 1846: 1844:Post-Newtonian 1841: 1836: 1828: 1827: 1823: 1822: 1821: 1820: 1815: 1810: 1805: 1800: 1795: 1787: 1786: 1780: 1776: 1775: 1772: 1768: 1767: 1766: 1765: 1762: 1761: 1756: 1755: 1754: 1753: 1748: 1743: 1735: 1734: 1728: 1727: 1726: 1725: 1720: 1715: 1710: 1705: 1703:Frame-dragging 1700: 1695: 1690: 1685: 1680: 1678:Kepler problem 1670: 1666: 1665: 1664: 1661: 1660: 1657: 1656: 1651: 1646: 1641: 1635: 1631: 1630: 1629: 1626: 1625: 1624: 1623: 1618: 1616: 1615: 1610: 1605: 1599: 1597: 1589: 1588: 1574: 1571: 1567: 1562: 1558: 1553: 1550: 1546: 1542: 1539: 1534: 1531: 1527: 1517: 1509: 1508: 1493: 1490: 1474:Alexis Bouvard 1458:10 m⋅kg⋅s 1435: 1426: 1421:is the force, 1406: 1399: 1395: 1388: 1384: 1378: 1374: 1367: 1364: 1361: 1291:published his 1274: 1271: 1241:air resistance 1206:Giovan Bellaso 1166:Main article: 1163: 1160: 1073: 1070: 1065:Main article: 1062: 1059: 1042: 1039: 1036: 1020:quantum vacuum 979:between them. 931:, proposed by 889:Moon's gravity 813: 812: 810: 809: 802: 795: 787: 784: 783: 782: 781: 768: 751: 750: 746: 745: 740: 735: 730: 725: 720: 715: 710: 705: 700: 695: 690: 685: 680: 675: 670: 665: 660: 655: 650: 645: 640: 635: 630: 624: 623: 620: 619: 616: 615: 612: 611: 592: 591: 586: 581: 576: 574:Coriolis force 571: 570: 569: 559: 554: 549: 543: 542: 537: 536: 533: 532: 528: 527: 522: 517: 516: 515: 510: 500: 495: 490: 483: 472: 471: 470: 465: 452: 451: 446: 441: 436: 429: 424: 419: 413: 412: 409: 408: 405: 404: 401: 400: 397: 396: 391: 386: 381: 376: 371: 365: 359: 357: 350: 347: 344: 343: 340: 339: 335: 334: 329: 324: 319: 314: 309: 304: 299: 293: 288: 282: 277: 266: 261: 256: 251: 246: 245: 244: 239: 229: 224: 219: 214: 208: 207: 204: 203: 200: 199: 195: 194: 189: 184: 179: 174: 169: 164: 159: 153: 152: 149: 148: 145: 144: 142: 141: 136: 131: 125: 122: 121: 116: 102: 99: 93: 89: 83: 65: 64: 58: 57: 15: 9: 6: 4: 3: 2: 8101: 8090: 8087: 8085: 8082: 8080: 8077: 8075: 8072: 8071: 8069: 8059: 8049: 8047: 8037: 8035: 8025: 8023: 8018: 8013: 8011: 8001: 7999: 7994: 7989: 7988: 7985: 7972: 7969: 7967: 7964: 7963: 7961: 7957: 7951: 7948: 7946: 7943: 7941: 7938: 7933: 7929: 7926: 7925:Fatio–Le Sage 7922: 7921: 7920: 7917: 7915: 7912: 7910: 7907: 7905: 7902: 7901: 7899: 7897: 7891:Pre-Newtonian 7889: 7879: 7876: 7874: 7871: 7869: 7866: 7864: 7861: 7859: 7856: 7855: 7853: 7847: 7838: 7834: 7833: 7832: 7829: 7824: 7820: 7817: 7813: 7810: 7806: 7803: 7799: 7796: 7792: 7789: 7785: 7782: 7778: 7775: 7771: 7770: 7769: 7768:String theory 7766: 7761: 7757: 7756: 7755: 7752: 7750: 7747: 7745: 7742: 7741: 7739: 7733: 7727: 7724: 7722: 7719: 7718: 7716: 7712: 7706: 7703: 7701: 7698: 7696: 7693: 7691: 7688: 7686: 7683: 7678: 7674: 7671: 7667: 7664: 7660: 7659: 7658: 7655: 7653: 7650: 7649: 7647: 7643: 7637: 7634: 7632: 7629: 7627: 7624: 7622: 7619: 7614: 7610: 7609: 7608: 7605: 7603: 7600: 7598: 7595: 7590: 7586: 7585: 7584: 7581: 7579: 7576: 7571: 7567: 7564: 7560: 7559: 7558: 7555: 7553: 7550: 7548: 7545: 7543: 7541: 7537: 7533: 7531: 7528: 7526: 7523: 7521: 7518: 7513: 7509: 7506: 7502: 7501: 7500: 7497: 7496: 7494: 7490: 7484: 7481: 7479: 7476: 7474: 7471: 7470: 7468: 7464: 7461: 7459: 7453: 7443: 7440: 7438: 7437:ADM formalism 7435: 7433: 7430: 7428: 7425: 7423: 7420: 7418: 7415: 7413: 7410: 7408: 7405: 7403: 7400: 7398: 7395: 7394: 7392: 7390: 7386: 7380: 7377: 7375: 7372: 7370: 7367: 7365: 7362: 7361: 7359: 7355: 7352: 7348: 7344: 7337: 7332: 7330: 7325: 7323: 7318: 7317: 7314: 7302: 7299: 7297: 7294: 7292: 7289: 7287: 7284: 7283: 7280: 7274: 7271: 7269: 7266: 7265: 7263: 7259: 7253: 7250: 7246: 7243: 7241: 7238: 7237: 7236: 7233: 7229: 7226: 7223: 7222: 7221: 7218: 7217: 7215: 7213: 7209: 7205: 7201: 7194: 7189: 7187: 7182: 7180: 7175: 7174: 7171: 7163: 7159: 7158: 7153: 7149: 7145: 7141: 7140: 7135: 7134:"Gravitation" 7131: 7129: 7126: 7125: 7115: 7114: 7109: 7104: 7100: 7094: 7090: 7086: 7082: 7078: 7072: 7068: 7063: 7059: 7053: 7049: 7048: 7042: 7038: 7032: 7028: 7023: 7019: 7015: 7011: 7009:9780520088160 7005: 7001: 6996: 6995: 6984: 6983: 6976: 6973: 6971:0-07-045270-9 6967: 6963: 6959: 6955: 6951: 6947: 6943: 6937: 6933: 6929: 6928:Gribbin, John 6925: 6924: 6910: 6905: 6898: 6889: 6884: 6880: 6876: 6872: 6868: 6864: 6857: 6849: 6845: 6841: 6837: 6833: 6829: 6825: 6821: 6814: 6805: 6800: 6796: 6792: 6787: 6786:gr-qc/0207039 6782: 6778: 6774: 6770: 6763: 6755: 6751: 6747: 6743: 6738: 6733: 6729: 6725: 6721: 6714: 6706: 6702: 6697: 6692: 6688: 6684: 6680: 6673: 6665: 6661: 6657: 6653: 6650:(9): 091102. 6649: 6645: 6641: 6634: 6618: 6614: 6610: 6604: 6588: 6584: 6580: 6574: 6558: 6554: 6550: 6544: 6535: 6530: 6526: 6522: 6518: 6514: 6510: 6503: 6496: 6492: 6489: 6484: 6468: 6464: 6460: 6453: 6434: 6430: 6426: 6421: 6416: 6412: 6408: 6403: 6398: 6394: 6390: 6389: 6381: 6377: 6373: 6366: 6350: 6346: 6340: 6324: 6320: 6316: 6312: 6308: 6304: 6300: 6293: 6277: 6273: 6269: 6262: 6255: 6243: 6239: 6235: 6229: 6213: 6209: 6205: 6199: 6180: 6176: 6169: 6167: 6158: 6150: 6146: 6145: 6140: 6133: 6117: 6113: 6107: 6103: 6102: 6094: 6078: 6074: 6070: 6064: 6053: 6049: 6042: 6036: 6020: 6016: 6010: 5994: 5990: 5986: 5980: 5974: 5969: 5963: 5959: 5958: 5950: 5934: 5930: 5926: 5920: 5904: 5900: 5896: 5890: 5874: 5870: 5866: 5862: 5858: 5854: 5850: 5845: 5840: 5836: 5832: 5828: 5821: 5805: 5801: 5797: 5791: 5783: 5779: 5774: 5769: 5764: 5759: 5755: 5751: 5747: 5740: 5727: 5725:9780471925675 5721: 5716: 5715: 5709: 5703: 5686: 5681: 5676: 5672: 5668: 5664: 5660: 5659: 5654: 5650: 5646: 5640: 5624: 5620: 5616: 5610: 5608: 5599: 5593: 5589: 5588: 5580: 5572: 5566: 5562: 5555: 5547: 5541: 5536: 5535: 5526: 5518: 5516:9781108655705 5512: 5509:. p. 6. 5508: 5504: 5497: 5481: 5477: 5473: 5467: 5452: 5445: 5437: 5433: 5428: 5423: 5419: 5415: 5411: 5407: 5403: 5401: 5392: 5376: 5372: 5368: 5361: 5345: 5341: 5337: 5333: 5329: 5325: 5321: 5316: 5311: 5307: 5303: 5299: 5292: 5273: 5266: 5259: 5251: 5247: 5243: 5239: 5235: 5231: 5227: 5223: 5219: 5215: 5208: 5197: 5193: 5189: 5185: 5181: 5177: 5173: 5168: 5163: 5159: 5155: 5148: 5141: 5130: 5123: 5116: 5100: 5096: 5092: 5086: 5070: 5066: 5062: 5057: 5052: 5048: 5044: 5040: 5036: 5032: 5028: 5024: 5017: 4998: 4991: 4985: 4966: 4962: 4955: 4948: 4932: 4928: 4924: 4918: 4902: 4898: 4894: 4888: 4872: 4868: 4861: 4845: 4841: 4835: 4827: 4821: 4817: 4810: 4802: 4800:9781439808504 4796: 4792: 4791: 4783: 4767: 4763: 4759: 4753: 4737: 4733: 4729: 4723: 4707: 4703: 4699: 4693: 4677: 4673: 4669: 4665: 4658: 4650: 4648:9781107117440 4644: 4640: 4639: 4631: 4629: 4627: 4610: 4606: 4602: 4598: 4594: 4590: 4586: 4582: 4578: 4574: 4570: 4566: 4559: 4543: 4539: 4532: 4516: 4512: 4506: 4490: 4486: 4479: 4471: 4467: 4463: 4459: 4455: 4451: 4447: 4443: 4439: 4435: 4428: 4412: 4408: 4404: 4398: 4379: 4372: 4366: 4350: 4346: 4342: 4336: 4320: 4316: 4310: 4306: 4305: 4300: 4296: 4290: 4283: 4279: 4275: 4270: 4262: 4258: 4257: 4252: 4246: 4240:, p. 57. 4239: 4234: 4227: 4221: 4213: 4211:0-691-02350-6 4207: 4203: 4202: 4197: 4191: 4184: 4183: 4178: 4173: 4157: 4153: 4151:9780674971660 4147: 4143: 4142: 4134: 4126: 4122: 4118: 4114: 4110: 4106: 4102: 4098: 4094: 4090: 4083: 4067: 4063: 4057: 4053: 4049: 4048: 4040: 4038: 4036: 4027: 4025:9780415124119 4021: 4017: 4010: 4002: 4000:9780691165851 3996: 3992: 3991: 3983: 3975: 3969: 3965: 3957: 3941: 3937: 3936: 3928: 3912: 3908: 3906:9780199792689 3902: 3898: 3897: 3889: 3882: 3878: 3874: 3871: 3870: 3865: 3864: 3859: 3858: 3851: 3835: 3831: 3827: 3823: 3819: 3813: 3797: 3793: 3787: 3783: 3782: 3774: 3758: 3754: 3748: 3744: 3743: 3735: 3719: 3715: 3711: 3707: 3703: 3698: 3693: 3689: 3685: 3681: 3677: 3673: 3666: 3655: 3651: 3644: 3637: 3630: 3626: 3620: 3616: 3609: 3607: 3600: 3595: 3579: 3575: 3574: 3569: 3565: 3559: 3552: 3548: 3544: 3541:– discusses " 3530: 3526: 3525: 3520: 3513: 3497: 3493: 3489: 3483: 3475: 3469: 3465: 3460: 3459: 3450: 3434: 3430: 3424: 3420: 3409: 3406: 3403: 3400: 3397: 3394: 3388: 3385: 3382: 3379: 3376: 3373: 3370: 3367: 3364: 3361: 3358: 3355: 3352: 3349: 3346: 3343: 3342: 3332: 3329: 3326: 3322: 3318: 3314: 3311: 3308: 3306: 3303: 3300: 3299:AurĂ©lien Hees 3296: 3292: 3289: 3286: 3282: 3281:Justin Khoury 3278: 3275: 3273: 3269: 3266: 3264: 3260: 3257: 3255: 3251: 3247: 3246:Carlo Rovelli 3243: 3240: 3237: 3233: 3230: 3226: 3222: 3218: 3215: 3212: 3209: 3206: 3203: 3200: 3197: 3196:String theory 3194: 3191: 3187: 3183: 3179: 3176: 3173: 3170: 3169: 3160: 3157: 3154: 3151: 3148: 3145: 3142: 3138: 3135: 3132: 3128: 3125: 3123: 3120: 3119: 3112: 3099: 3095: 3091: 3090: 3089:Flyby anomaly 3086: 3083: 3079: 3075: 3074: 3070: 3067: 3063: 3059: 3055: 3051: 3048: 3047: 3043: 3039: 3035: 3030: 3026: 3021: 3011: 3008: 3003: 3001: 3000: 2994: 2988: 2978: 2976: 2972: 2967: 2962: 2960: 2955: 2949: 2941: 2936: 2927: 2924: 2918: 2916: 2912: 2908: 2898: 2894: 2889: 2879: 2862: 2858: 2854: 2850: 2847:In 2015, the 2846: 2843: 2839: 2836: 2833: 2829: 2825: 2821: 2818: 2814: 2810: 2806: 2803: 2799: 2795: 2792: 2788: 2784: 2780: 2779:an experiment 2776: 2772: 2768: 2765: 2761: 2757: 2753: 2752: 2748: 2743: 2739: 2734: 2724: 2722: 2718: 2717:Planck length 2714: 2710: 2707: 2703: 2699: 2695: 2690: 2688: 2684: 2678: 2674: 2664: 2662: 2658: 2654: 2650: 2646: 2638: 2634: 2630: 2626: 2622: 2618: 2615: 2611: 2608: 2604: 2601: 2600:Kerr solution 2597: 2594: 2590: 2586: 2583: 2579: 2575: 2571: 2567: 2563: 2562: 2561: 2559: 2555: 2550: 2542: 2537: 2533: 2515: 2511: 2506: 2503: 2500: 2494: 2491: 2483: 2467: 2447: 2439: 2431: 2420: 2419:metric tensor 2409: 2386: 2381: 2378: 2374: 2370: 2367: 2362: 2359: 2355: 2348: 2343: 2340: 2336: 2327: 2323: 2313: 2311: 2307: 2303: 2293: 2289: 2287: 2283: 2278: 2276: 2272: 2268: 2263: 2261: 2257: 2252: 2248: 2244: 2232: 2227: 2225: 2220: 2218: 2213: 2212: 2210: 2209: 2203: 2193: 2190: 2185: 2179: 2178: 2177: 2176: 2169: 2168: 2164: 2162: 2159: 2157: 2154: 2152: 2149: 2147: 2144: 2142: 2139: 2137: 2134: 2132: 2129: 2127: 2124: 2122: 2119: 2117: 2114: 2112: 2109: 2107: 2106:Chandrasekhar 2104: 2102: 2099: 2097: 2094: 2092: 2089: 2087: 2084: 2082: 2079: 2077: 2074: 2072: 2069: 2067: 2064: 2062: 2059: 2057: 2054: 2052: 2049: 2047: 2044: 2042: 2039: 2037: 2034: 2032: 2029: 2027: 2024: 2022: 2021:Schwarzschild 2019: 2017: 2014: 2012: 2009: 2007: 2004: 2002: 1999: 1998: 1990: 1989: 1982: 1981:Hartle–Thorne 1979: 1977: 1974: 1972: 1969: 1967: 1964: 1962: 1959: 1957: 1954: 1952: 1949: 1947: 1944: 1942: 1939: 1937: 1934: 1932: 1929: 1927: 1924: 1922: 1919: 1917: 1914: 1912: 1909: 1907: 1904: 1902: 1899: 1896: 1892: 1891:Schwarzschild 1889: 1888: 1884: 1878: 1877: 1866: 1863: 1861: 1858: 1857: 1856: 1855: 1851: 1850: 1845: 1842: 1840: 1837: 1835: 1832: 1831: 1830: 1829: 1825: 1824: 1819: 1816: 1814: 1811: 1809: 1806: 1804: 1801: 1799: 1796: 1794: 1791: 1790: 1789: 1788: 1784: 1783: 1773: 1770: 1769: 1764: 1763: 1752: 1749: 1747: 1744: 1742: 1739: 1738: 1737: 1736: 1733: 1730: 1729: 1724: 1721: 1719: 1716: 1714: 1713:Event horizon 1711: 1709: 1706: 1704: 1701: 1699: 1696: 1694: 1691: 1689: 1686: 1684: 1681: 1679: 1676: 1675: 1674: 1673: 1663: 1662: 1655: 1652: 1650: 1647: 1645: 1642: 1640: 1637: 1636: 1628: 1627: 1622: 1619: 1614: 1611: 1609: 1606: 1604: 1601: 1600: 1598: 1596: 1593: 1592: 1591: 1590: 1572: 1569: 1565: 1560: 1556: 1551: 1548: 1544: 1537: 1532: 1529: 1525: 1515: 1511: 1510: 1507: 1504: 1503: 1499: 1489: 1487: 1483: 1479: 1475: 1471: 1466: 1461: 1452: 1447: 1434: 1425: 1404: 1397: 1393: 1386: 1382: 1376: 1372: 1365: 1362: 1359: 1351: 1349: 1345: 1344: 1339: 1335: 1333: 1328: 1327:Edmond Halley 1320: 1315: 1311: 1309: 1303: 1298: 1296: 1295: 1290: 1284: 1280: 1270: 1268: 1264: 1260: 1257: 1253: 1248: 1246: 1242: 1238: 1234: 1230: 1226: 1222: 1218: 1214: 1209: 1207: 1203: 1199: 1195: 1191: 1187: 1183: 1179: 1175: 1169: 1156: 1151: 1147: 1145: 1141: 1137: 1134:intellectual 1133: 1129: 1124: 1122: 1121: 1120:gurutvākaráčŁaáč‡ 1116: 1112: 1107: 1104: 1099: 1095: 1090: 1088: 1083: 1079: 1072:Ancient world 1068: 1058: 1054: 1048: 1035: 1033: 1029: 1025: 1021: 1017: 1013: 1009: 1005: 1001: 997: 993: 989: 985: 980: 978: 974: 970: 966: 962: 958: 954: 953:event horizon 950: 946: 942: 938: 934: 930: 925: 922: 918: 915:caused it to 914: 909: 907: 904:of fluids in 903: 899: 894: 890: 886: 882: 878: 874: 872: 868: 864: 860: 856: 852: 848: 844: 840: 836: 832: 828: 824: 820: 808: 803: 801: 796: 794: 789: 788: 786: 785: 779: 769: 766: 761: 755: 754: 753: 752: 744: 741: 739: 736: 734: 731: 729: 726: 724: 721: 719: 716: 714: 711: 709: 706: 704: 701: 699: 696: 694: 691: 689: 686: 684: 681: 679: 676: 674: 671: 669: 666: 664: 661: 659: 656: 654: 651: 649: 646: 644: 641: 639: 636: 634: 631: 629: 626: 625: 618: 617: 610: 606: 602: 598: 595: 594: 590: 587: 585: 582: 580: 577: 575: 572: 568: 565: 564: 563: 560: 558: 555: 553: 550: 548: 545: 544: 540: 535: 534: 526: 523: 521: 518: 514: 511: 509: 506: 505: 504: 501: 499: 496: 494: 491: 489: 484: 481: 477: 474: 473: 469: 466: 463: 459: 455: 454: 450: 447: 445: 442: 440: 437: 435: 430: 428: 425: 423: 420: 418: 415: 414: 407: 406: 395: 392: 390: 387: 385: 382: 380: 377: 375: 372: 370: 367: 366: 364: 363: 358: 355: 354: 349: 348: 342: 341: 333: 330: 328: 325: 323: 320: 318: 315: 313: 310: 308: 305: 303: 300: 298: 294: 292: 289: 287: 283: 281: 278: 275: 271: 267: 265: 262: 260: 257: 255: 252: 250: 247: 243: 240: 238: 235: 234: 233: 230: 228: 225: 223: 220: 218: 215: 213: 210: 209: 202: 201: 193: 190: 188: 185: 183: 180: 178: 175: 173: 170: 168: 165: 163: 160: 158: 155: 154: 147: 146: 140: 137: 135: 132: 130: 127: 126: 124: 123: 119: 100: 97: 87: 81: 67: 66: 63: 60: 59: 55: 54: 48: 43: 39: 35: 31: 26: 22: 8084:Acceleration 8058:Solar System 7893:theories and 7726:Supergravity 7539: 7535: 7397:Introduction 7342: 7273:Quintessence 7251: 7155: 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