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A systematic method is developed to study classical motion of a mass point in gravitational gauge field. First, the formulation of gauge theory of gravity in arbitrary curvilinear coordinates is given. Then in spherical coordinates system,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ning Wu , Dahua Zhang

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

General Relativity and Quantum Cosmology · Physics 2010-10-27 M. Novello

Einstein gravitation theory can be extended by preserving its geometrical nature but changing the relation between curvature and energy-momentum tensors. This change accounts for radiative corrections, replacing the Newton gravitation…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marc-Thierry Jaekel , Serge Reynaud

We determine the angle of deflection of light by the gravitational field inside and outside a spherical body with a homogeneous mass density. We show that the largest deflections, which can be measured by weak gravitational lensing, are in…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Nikodem Popławski

A simple general relativity theory for objects moving in gravitational fields is developed based on studying the behavior of an atom in a gravitational field. The theory is applied to calculate the satellite time dilation, light deflection…

General Physics · Physics 2007-05-23 Yehea I. Ismail

The Einsteinian Theory of Gravitation ("General Theory of Relativity") is founded essentially; on the reception that the geometrical properties of the 4-dimensional space-time continuum are defined from the matter in it. Contrary to this,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Mattes

The Schwarzschild geometry is investigated within the context of effective-field-theory models of gravity. Starting from its harmonic-coordinate expression, we derive the metric in standard coordinates by keeping the leading one-loop…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Emmanuele Battista

Einstein's equivalence principle in classical physics is a rule stating that the effect of gravitation is locally equivalent to the acceleration of an observer. The principle determines the motion of test particles uniquely (modulo very…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Andrzej Herdegen , Jaroslaw Wawrzycki

This paper has been withdrawn by the author after further work showed the proposed theoretical approach cannot fit planetary perihelion precession data. As presented, the theory doesn't fit gravitational light deflection by the sun either,…

General Physics · Physics 2014-03-28 Steven Kenneth Kauffmann

Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised level and show how a gauge theoretic Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Kirill Krasnov

Equivalence principles are a major part of modern relativity theory. Gravitational shifts can already be calculated within the time domain as motion shifts, and we examine the consequences of reversing this argument and describing motion…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Baird

Evolution of gravitational perturbations, both in time and frequency domains, is considered for a spherically symmetric black hole in the non-reduced Einstein-Aether theory. It is shown that real oscillation frequency and damping rate are…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Konoplya , A. Zhidenko

For nearly a century, Einstein's theory of gravity has been the standard theory for describing gravitational phenomena in our universe. Along with its successes, limitations of the theory from theoretical (e.g., singularities) and…

General Relativity and Quantum Cosmology · Physics 2021-08-10 Sourabh Nampalliwar

It is well known that the Schwarzschild solution describes the gravitational field outside compact spherically symmetric mass distribution in General Relativity. In particular, it describes the gravitational field outside a point particle.…

General Relativity and Quantum Cosmology · Physics 2013-09-04 M. O. Katanaev

We study gravitational waves emitted by a binary system of non-spinning bodies in a quasi-circular inspiral within the framework of Einstein-aether theory. In particular, we compute explicitly and analytically the expressions for the…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Chao Zhang , Xiang Zhao , Anzhong Wang , Bin Wang , Kent Yagi , Nicolas Yunes , Wen Zhao , Tao Zhu

Three theoretical criteria for gravitational theories beyond general relativity are considered: obtaining the cosmological constant as an integration constant, deriving the energy conservation law as a consequence of the field equations,…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Junpei Harada

The Einstein--Cartan Theory (ECT) of gravity is a modification of General Relativity Theory (GRT), allowing space-time to have torsion, in addition to curvature, and relating torsion to the density of intrinsic angular momentum. This…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andrzej Trautman

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Alexandre Le Tiec , Jérôme Novak

We study two large classes of alternative theories, modifying the action through algebraic, quadratic curvature invariants coupled to scalar fields. We find one class that admits solutions that solve the vacuum Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Leo C. Stein

The status of experimental tests of general relativity and of theoretical frameworks for analysing them is reviewed. Einstein's equivalence principle (EEP) is well supported by experiments such as the Eotvos experiment, tests of special…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Clifford M. Will