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We give a short personally-biased review on the recent progress in our understanding of gravitational radiation reaction acting on a point particle orbiting a black hole. The main motivation of this study is to obtain sufficiently precise…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Takahiro Tanaka

This paper derives the expressions of the multipole moments of an isolated gravitating source with an accuracy corresponding to the second post-Newtonian (2-PN) approximation of general relativity. The moments are obtained by a procedure of…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Luc Blanchet

The gravitational radiation emitted by a rotating magnetic dipole is calculated. Formulas for the polarization amplitudes and the radiated power are obtained in closed forms. A comparison is made with other sources of gravitational and…

General Relativity and Quantum Cosmology · Physics 2017-01-16 Shahen Hacyan

Gravitational shockwaves produce perturbations of field systems. We study classical scalar and electromagnetic fields and gravitational memory effects left after the action on the fields of plane-fronted gravitational shockwaves. The…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Dmitri V. Fursaev

The conventional gravitational memory effect is a relative displacement in the position of two detectors induced by radiative energy flux. We find a new type of gravitational `spin memory' in which beams on clockwise and counterclockwise…

High Energy Physics - Theory · Physics 2017-02-01 Sabrina Pasterski , Andrew Strominger , Alexander Zhiboedov

We examine gravitational wave memory in the case where sources and detector are in a $\Lambda$CDM cosmology. We consider the case where the universe can be highly inhomogeneous, but the gravitatational radiation is treated in the short…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Lydia Bieri , David Garfinkle , Nicolas Yunes

The equations which determine the response of a charged particle moving in a magnetic field to an incident gravitational wave(GW) are derived in the linearized approximation to general relativity. We briefly discuss several astrophysical…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Demetrios B. Papadopoulos

We revisit the old problem of the self-force on a particle moving in a weak-field spacetime in the context of renewed interest in two-body gravitational scattering. We analytically calculate the scalar, electromagnetic, and gravitational…

General Relativity and Quantum Cosmology · Physics 2024-06-06 Samuel E. Gralla , Kunal Lobo

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a…

General Relativity and Quantum Cosmology · Physics 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We compute the gravitational radiation-reaction force on a compact binary source at the fourth-and-a-half post-Newtonian (4.5PN) order of general relativity, i.e., 2PN order beyond the leading 2.5PN radiation reaction. The calculation is…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Luc Blanchet , Guillaume Faye , David Trestini

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2009-06-29 M. De Laurentis , S. Capozziello

We present a unified investigation of memory effect in Einstein-Maxwell theory. We specify two types of memory effect, a velocity kick and a position displacement, by examining the motion of a single free falling charged test particle. Our…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Pujian Mao , Wen-Di Tan

A numerical-relativity calculation yields in general a solution of the Einstein equations including also a radiative part, which is in practice computed in a region of finite extent. Since gravitational radiation is properly defined only at…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Nigel T. Bishop , Luciano Rezzolla

In this short paper we investigate quantum gravitational effects on Einstein's equations using effective field theory techniques. We consider the leading order quantum gravitational correction to the wave equation. Besides the usual…

High Energy Physics - Theory · Physics 2016-08-24 Xavier Calmet , Iberê Kuntz , Sonali Mohapatra

It is well known that energy fluxes will produce gravitational wave memory. The gravitational wave memory produced by background including cosmic microwave background (CMB), cosmic neutrino background (C$\nu$B), and gravitational wave…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Zhoujian Cao , Xiaokai He , Zhi-Chao Zhao

Two novel results for the gravitational memory effect are presented in this paper. We first extend the formula for the memory effect to solutions with arbitrary two surface boundary topology. The memory effect for the Robinson-Trautman…

General Relativity and Quantum Cosmology · Physics 2020-11-24 Pujian Mao , Xiaoning Wu

A new hierarchy of lasting gravitational-wave effects (the higher memory effects) was recently identified in asymptotically flat spacetimes, with the better-known displacement, spin, and center-of-mass memory effects included as the lowest…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Siddhant Siddhant , Alexander M. Grant , David A. Nichols

An effective field theory framework is used to investigate some Lorentz-violating effects on the generation of electromagnetic and gravitational waves, complementing previous work on propagation. Specifically we find solutions to a…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Quentin G. Bailey , Alexander S. Gard , Nils A. Nilsson , Rui Xu , Lijing Shao

We construct a general relativity formula for the law of gravity for material bodies. The formula contains three numeric parameters that are to be determined experimentally. If they are chosen from symmetry considerations, then the theory…

Mathematical Physics · Physics 2007-05-23 N. N. Chaus
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