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We show that the field equations of the Schwarzschild geometry are invariant under passive Lorentz transformations to a freely falling system. We decompose the field equations with respect to the accelerated system and find that the force…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rainer Burghardt

In the present work, we theoretically investigate gravitational lensing in the spacetime of a holonomy corrected Schwarzschild black hole. Analytical expressions for the light deflection angle are obtained in both the weak field limit and…

General Relativity and Quantum Cosmology · Physics 2024-08-07 A. R. Soares , C. F. S. Pereira , R. L. L. Vitória

We consider the motion of small bodies in general relativity. The key result captures a sense in which such bodies follow timelike geodesics (or, in the case of charged bodies, Lorentz-force curves). This result clarifies the relationship…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Robert Geroch , James Owen Weatherall

Gravitational lensing and black hole shadows are one of the strongest observational evidences to prove the existence of black holes in the universe. The gravitational lensing arises due to the deflection of light by the gravitational field…

General Relativity and Quantum Cosmology · Physics 2020-10-09 Shubham Kala , Saurabh , Hemwati Nandan , Prateek Sharma

A unified approach to the study of classical and quantum spin in external fields is developed. Understanding the dynamics of particles with spin and dipole moments in arbitrary gravitational, inertial and electromagnetic fields is important…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Yuri N. Obukhov

We derive the equations of motion of an extended test body in the context of Einstein's theory of gravitation. The equations of motion are obtained via a multipolar approximation method and are given up to the quadrupolar order. Special…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jan Steinhoff , Dirk Puetzfeld

It is shown that the amplification of a light beam by gravitational waves in scalar-tensor theories of gravity is a first order effect in the wave amplitudes. In general relativity, instead, the effect is only of second order.

Astrophysics · Physics 2007-05-23 Valerio Faraoni

The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations. More precisely, the review covers all aspects of gravitational lensing where light propagation is described in terms of…

General Relativity and Quantum Cosmology · Physics 2010-10-19 Volker Perlick

We investigate the rotation of the polarization of a light ray propagating in the gravitational field of a circularly polarized laser beam. The rotation consists of a reciprocal part due to gravitational optical activity, and a…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Fabienne Schneiter , Dennis Rätzel , Daniel Braun

We present a transformation between the Schwarzschild coordinates and local inertial coordinates, and demonstrate the effect of gravitational bending of light near a massive body in a small region. When a photon is emitted from a point near…

General Physics · Physics 2024-12-12 Frank Wang

Gravitational waves can act like gravitational lenses, affecting the observed positions, brightnesses, and redshifts of distant objects. Exact expressions for such effects are derived here in general relativity, allowing for…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Abraham I. Harte

We investigate the gravitational lensing of a Schwarzschild-de Sitter black hole with a global monopole at finite distances. In this asymptotically nonflat spacetime, the deflection angle of light is decomposed into two parts: the first…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Yi Lu , Xiao-Yin Pan , Meng-Yun Lai , Qing-hai Wang

The gravitational Faraday and its dual spin-Hall effects of light arise in space-times of non-zero angular momentum. These effects were studied in stationary, asymptotically flat space-times. Here we study these effects in arbitrary,…

General Relativity and Quantum Cosmology · Physics 2021-10-04 Andrey A. Shoom

The light-trajectory in the gravitational field of N extended bodies in arbitrary motion is determined in the first post-Newtonian approximation. According to the theory of reference systems, the gravitational fields of these massive bodies…

Instrumentation and Methods for Astrophysics · Physics 2017-07-25 Sven Zschocke

We discuss the relation between the gravitational and electromagnetic fields as governed by the Einstein-Maxwell field equations. It is emphasized that the tendency of the gravitational field to induce electromagnetic effects increases as…

General Relativity and Quantum Cosmology · Physics 2008-02-21 Kjell Rosquist

The motion with intersections of relativistic gravitating shells in the Schwarzschild gravitational field of a central body is considered. Formulas are derived for calculating parameters of the shells after intersection via their parameters…

Astrophysics · Physics 2009-11-07 M. V. Barkov , V. A. Belinski , G. S. Bisnovatyi-Kogan

Previous work has shown that the interaction between gravitational waves (GWs) and a shell of viscous matter leads to damping of the GWs and heating of the matter, and that these effects may be astrophysically significant. This result was…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Nigel T. Bishop

It is a well known result that the effect of vacuum polarization in gravitational fields will lead to a non-minimal coupling between gravity and electromagnetism. We investigate this phenomenon further by considering the description of…

General Relativity and Quantum Cosmology · Physics 2019-01-10 Petar Pavlović , Marko Sossich

In this letter a new formula for light deflection is derived using only physically observable concepts. The general result is specialized to cosmological perturbation theory and expressed in terms of gauge--invariant perturbation variables.…

Astrophysics · Physics 2009-10-22 Ruth Durrer

Phenomena of wave propagation in dynamically varying structures have reemerged as the temporal variations of the medium's properties can extend the possibilities for electromagnetic wave manipulation. While the dynamical change of the…

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