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Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

We study the motion of test particles in the metric of a localized and slowly rotating astronomical source, within the framework of linear gravitoelectromagnetism, grounded on a Post-Minkowskian approximation of general relativity. Special…

General Relativity and Quantum Cosmology · Physics 2015-10-14 Donato Bini , Lorenzo Iorio , Domenico Giordano

The non-linearity of the theory of gravity induces a hysteresis effect in both the systems interacting with gravity and in the gravitational field. The effect is usually referred to as the memory effect. In this paper, we explore this…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Raihaneh Moti , Ali Shojai

We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions are superposed to form a time-symmetric ingoing and then…

General Relativity and Quantum Cosmology · Physics 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell

Gravitational-wave tails are linear waves that backscatter on the curvature of space-time generated by the total mass-energy of the source. The non-linear memory effect arises from gravitational waves sourced by the stress-energy…

General Relativity and Quantum Cosmology · Physics 2024-02-16 David Trestini , Luc Blanchet

The wave effect in the gravitational lensing phenomenon by a straight cosmic string is investigated. The interference pattern is expressed in terms of a simple formula. We demonstrate that modulations of the interfered wave amplitude can be…

Astrophysics · Physics 2009-11-10 Kazuhiro Yamamoto , Keiji Tsunoda

We develop a general framework for the open dynamics of an ensemble of quantum particles subject to spacetime fluctuations about the flat background. An arbitrary number of interacting bosonic and fermionic particles are considered. A…

General Relativity and Quantum Cosmology · Physics 2017-10-06 Teodora Oniga , Charles H. -T. Wang

It is shown that in the passage of a short burst of non-linear plane gravitational wave, the kinetic energy of free particles may either decrease or increase. The decreasing or increasing of the kinetic energy depends crucially on the…

General Relativity and Quantum Cosmology · Physics 2018-09-05 J. W. Maluf , J. F. da Rocha-Neto , S. C. Ulhoa , F. L. Carneiro

Spin-orbit and spin-spin effects in the gravitational interaction are treated in a close analogy with the fine and hyperfine interactions in atoms. The proper definition of the cener-of-mass coordinate is discussed. The technique developed…

General Relativity and Quantum Cosmology · Physics 2009-10-28 I. B. Khriplovich , A. A. Pomeransky

The pulsar timing residuals induced by gravitational waves from non-evolving single binary sources are affected by many parameters related to the relative positions of the pulsar and the gravitational wave sources. We will fully analyze the…

High Energy Astrophysical Phenomena · Physics 2015-06-18 Ming-Lei Tong , Cheng-Shi Zhao , Bao-Rong Yan , Ting-Gao Yang , Yu-Ping Gao

We study the motion of a gyroscope located far away from an isolated gravitational source in an asymptotically flat spacetime. As seen from a local frame tied to distant stars, the gyroscope precesses when gravitational waves cross its…

High Energy Physics - Theory · Physics 2023-11-10 Ali Seraj , Blagoje Oblak

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

Nonlinear wave interaction of low amplitude gravitational waves in flat space-time is considered. Analogy with optics is established. It is shown that the flat metric space-time is equivalent to a centro-symmetric optical medium, with no…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. T. Mendonca , Vitor Cardoso

We study how a charged particle moving in a uniform magnetic field along its standard circular path (cyclotron motion) reacts to a short-duration, homogeneous, uniform electric field pulse injected in the plane perpendicular to the magnetic…

Classical Physics · Physics 2025-02-27 Sayan Kar

Plane-symmetric gravitational waves are considered as gravitational lenses. Numbers of images, frequency shifts, mutual angles, and image distortion parameters are computed exactly in essentially all non-singular plane wave spacetimes. For…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Abraham I. Harte

We study the interaction among gravitational and electromagnetic plane waves by means of an analogue electromagnetic model of gravity, where the gravitational properties are encoded in the electromagnetic properties of a material in flat…

Particles initially at rest hit by a passing sandwich gravitational wave exhibit, in general, thevelocity memory effect (VM): they fly apart with constant velocity. For specific values of the wave parameters their motion can however become…

General Relativity and Quantum Cosmology · Physics 2025-05-14 P. -M. Zhang , P. A. Horvathy

This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth…

General Relativity and Quantum Cosmology · Physics 2024-06-13 K. M. Amarilo , M. B. Ferreira Filho , A. A. Araújo Filho , J. A. A. S. Reis

We examine a simple example of gravitational wave memory due to the decay of a point particle into two point particles. In the case where one of the decay products is null, there are two types of memory: a null memory due to the null…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Alexander Tolish , Lydia Bieri , David Garfinkle , Robert M. Wald

Gravitational-wave memory is a low-frequency, non-oscillatory component of the radiation field that provides a potentially powerful but as yet undetected probe of strong-field gravity. We present the first calculation of gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Silvia Gasparotto , Jann Zosso , Llibert Aresté Saló , Daniela D. Doneva , Stoytcho S. Yazadjiev
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