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A consistent approach for an exhaustive solution of the problem of propagation of light rays in the field of gravitational waves emitted by a localized source of gravitational radiation is developed in the first post-Minkowskian and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer , Carl R. Gwinn , T. Marshall Eubanks

We study the retarded field sourced by a uniformly accelerated particle in a non-local scalar field theory. While the presence of non-locality regularizes the field at the location of the source, we also show that Lorentz-invariant…

High Energy Physics - Theory · Physics 2021-05-12 Ivan Kolář , Jens Boos

We propose a Lorentz-covariant theory of gravity, and explain its theoretical origins in the problem of time in Newtonian physics. In this retarded gravitation theory (RGT), the gravitational force depends upon both retarded position and…

General Physics · Physics 2015-05-27 C. K. Raju

We study inverse problems for the Einstein equations with source fields in a general form. Under a microlocal linearization stability condition, we show that by generating small gravitational perturbations and measuring the responses near a…

Analysis of PDEs · Mathematics 2018-06-19 Gunther Uhlmann , Yiran Wang

In this paper Maxwell equations are used to analyze the propagation of oscillating electric and magnetic fields from a moving electric dipole source. The results show that both the magnetic field and electric fields generated propagate…

General Physics · Physics 2007-05-23 William D. Walker

Free massless fields of any spin in flat D-dimensional spacetime propagate at the speed of light. But the retarded fields produced by the corresponding point-like moving sources share this property only for even D. Since the Green's…

General Relativity and Quantum Cosmology · Physics 2021-09-24 D. V. Gal'tsov , M. Khlopunov

Within the weak-field approximation of general relativity, new exact solutions are derived for the gravitational field of a mass moving with arbitrary velocity and acceleration. A mass having a constant velocity greater than 3^-1/2 times…

General Relativity and Quantum Cosmology · Physics 2009-02-10 F. S. Felber

We study the deflection of light (and the redshift, or integrated time delay) caused by the time-dependent gravitational field generated by a localized material source lying close to the line of sight. Our calculation explicitly takes into…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Thibault Damour , Gilles Esposito-Farese

Galaxies are huge physical systems having dimensions of many tens of thousands of light years. Thus any change at the galactic center will be noticed at the rim only tens of thousands of years later. Those retardation effects seems to be…

General Physics · Physics 2025-05-27 Asher Yahalom

Equations of light, propagating from quasar to observer on earth, are integrated in the time-dependent gravitational field of the solar system by making use of either retarded or advanced solutions of the Einstein field equations. This…

Astrophysics · Physics 2007-05-23 Sergei M. Kopeikin

The paper gives an introduction to the gravitational radiation theory of isolated sources and to the propagation properties of light rays in radiative gravitational fields. It presents a theoretical study of the generation, propagation,…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Luc Blanchet , Sergei Kopeikin , Gerhard Schäfer

We employ an unregulated computation the graviton self-energy from gravitons on de Sitter background to infer the renormalized result. This is used to quantum-correct the linearized Einstein equation. We solve this equation for the…

General Relativity and Quantum Cosmology · Physics 2022-07-11 L. Tan , N. C. Tsamis , R. P. Woodard

A mass distribution is analyzed in terms of classical gravitational field theory. Newton's law of gravitation is consistently applied on the assumption that the equivalence of energy and mass according to Einstein's theory of relativity is…

General Physics · Physics 2015-05-26 Helmut Kling

An idealized "test" object in general relativity moves along a geodesic. However, if the object has a finite mass, this will create additional curvature in the spacetime, causing it to deviate from geodesic motion. If the mass is…

General Relativity and Quantum Cosmology · Physics 2020-03-30 Marius Oltean , Richard J. Epp , Carlos F. Sopuerta , Alessandro D. A. M. Spallicci , Robert B. Mann

We consider the retarded solution to the scalar, electromagnetic, and linearized gravitational field equations in Minkowski spacetime, with source given by a particle moving on a null geodesic. In the scalar case and in the Lorenz gauge in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Alexander Tolish , Robert M. Wald

We calculate the self-force experienced by a point scalar charge, a point electric charge, and a point mass moving in a weakly curved spacetime characterized by a time-independent Newtonian potential. The self-forces are calculated by first…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Michael J. Pfenning , Eric Poisson

We study constraints from causality and unitarity on $2\to2$ graviton scattering in four-dimensional weakly-coupled effective field theories. Together, causality and unitarity imply dispersion relations that connect low-energy observables…

High Energy Physics - Theory · Physics 2023-06-07 Simon Caron-Huot , Yue-Zhou Li , Julio Parra-Martinez , David Simmons-Duffin

We calculate the total gravitational energy and the gravitational energy density of the de Sitter space using the definition of localized energy that arises in the framework of the teleparallel equivalent of general relativity. We find that…

General Relativity and Quantum Cosmology · Physics 2009-10-28 J. W. Maluf

Localized astronomical sources like a double stellar system, rotating neutron star, or a massive black hole at the center of the Milky Way emit periodic gravitational waves. For a long time only a far-zone contribution of gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sergei M. Kopeikin

In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

Physics Education · Physics 2007-05-23 Indrajit Chakrabarty
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