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We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the…

High Energy Physics - Theory · Physics 2020-07-15 Clifford Cheung , Mikhail P. Solon

Gravitons are the quantum counterparts of gravitational waves in low-energy theories of gravity. Using Feynman rules one can compute scattering amplitudes describing the interaction between gravitons and other fields. Here, we consider the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Nicola Bartolo , Ahmad Hoseinpour , Giorgio Orlando , Sabino Matarrese , Moslem Zarei

Gravitationally bound hierarchies containing three or more components are very common in our Universe. In this paper we study {\em periodic} gravitational wave (GW) form, their polarizations, response function, its Fourier transform, and…

Astrophysics of Galaxies · Physics 2019-01-23 Kai Lin , Xiang Zhao , Chao Zhang , Tan Liu , Bin Wang , Shaojun Zhang , Xing Zhang , Wen Zhao , Tao Zhu , Anzhong Wang

We analyze 192 sets of binary black hole merger data in eccentric orbits obtained from RIT, decomposing the radiation energy into three distinct phases through time: inspiral, late inspiral to merger, and ringdown. Our investigation reveals…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Hao Wang , Yuan-Chuan Zou , Qing Wen Wu

Working within the post-Minkowskian approach to General Relativity, we prove that the radiation-reaction to the emission of gravitational waves during the large-impact-parameter scattering of two (classical) point masses modifies the…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Thibault Damour

In this work, we study the emission of tensor-type gravitational degrees of freedom from a higher-dimensional, simply rotating black hole in the bulk. The decoupled radial part of the corresponding field equation is first solved…

High Energy Physics - Theory · Physics 2010-06-08 P. Kanti , Hideo Kodama , R. A. Konoplya , N. Pappas , A. Zhidenko

Quantum mechanics is the fundamental framework of nature, and gravitational waves from binary black holes during the inspiral phase should likewise be analyzed quantum mechanically. It is commonly assumed that their classical description…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Sugumi Kanno , Jiro Soda , Akira Taniguchi

Using Effective Field Theory (EFT) methods, we compute the effects of horizon dissipation on the gravitational interactions of relativistic binary black hole systems. We assume that the dynamics is perturbative, i.e it admits an expansion…

High Energy Physics - Theory · Physics 2020-10-28 Walter D. Goldberger , Ira Z. Rothstein

In this paper, we consider the gravitational radiation generated by the collision of highly relativistic particles with rotating Kerr black holes. We use the Sasaki-Nakamura formalism to compute the waveform, energy spectra and total energy…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Vitor Cardoso , José P. S. Lemos

We derive the scalar waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to 1.5 post-Newtonian order [$O((v/c)^3)$]…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Ryan N. Lang

We derive the gravitational radiation-reaction force modifying the Effective One Body (EOB) description of the conservative dynamics of binary systems. Our result is applicable to general orbits (elliptic or hyperbolic) and keeps terms of…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Donato Bini , Thibault Damour

Properties of the motion of electrically charged particles in the background of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) black hole is presented in this paper. Radial and angular motion are studied analytically for different…

General Relativity and Quantum Cosmology · Physics 2016-01-20 J. R. Villanueva , Marco Olivares

We study graviton-graviton scattering in partial-wave amplitudes after unitarizing their Born terms. In order to apply $S$-matrix techniques, based on unitarity and analyticity, we introduce an $S$-matrix associated to this resummation that…

High Energy Physics - Theory · Physics 2023-01-11 J. A. Oller

We have used our new technique for fully numerical evolutions of orbiting black-hole binaries without excision to model the last orbit and merger of an equal-mass black-hole system. We track the trajectories of the individual apparent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Campanelli , C. O. Lousto , Y. Zlochower

We derive a universal expression for the gravitational radiation energy spectrum $dE^{GW}/d\omega$ at sub-leading order emitted from a generic gravitational hard scattering of multi-particles or multi-bodies. Our result includes all…

High Energy Physics - Theory · Physics 2021-11-29 Andrea Addazi , Kaiqiang Alan Zeng

We present a detailed descriptive analysis of the gravitational radiation from black-hole binary mergers of nonspinning black holes, based on numerical simulations of systems varying from equal-mass to a 6:1 mass ratio. Our primary goal is…

General Relativity and Quantum Cosmology · Physics 2010-05-12 John G. Baker , William D. Boggs , Joan Centrella , Bernard J. Kelly , Sean T. McWilliams , James R. van Meter

We consider the gravitational recoil due to non-reflection-symmetric gravitational wave emission in the context of axisymmetric Robinson-Trautman spacetimes. We show that regular initial data evolve generically into a final configuration…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Rodrigo P. Macedo , Alberto Saa

We propose, within the effective one body (EOB) approach, a new, resummed, analytical representation of the gravitational wave energy flux absorbed by a system of two circularized (nonspinning) black holes. This expression is such to be…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Alessandro Nagar , Sarp Akcay

Using the 1+3 formulation of stationary spacetimes we show, in the context of gravoelectromagnetism, that the plane of the polarization of light rays passing close to a black hole undergoes a rotation. We show that this rotation has the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mohammad Nouri-Zonoz

We compute the conservative and radiation-reaction contributions to classical observables in the gravitational scattering between a spinning and a spinless black hole to the fourth order in spin and third order in the gravitational…

High Energy Physics - Theory · Physics 2025-07-31 Dogan Akpinar , Fernando Febres Cordero , Manfred Kraus , Alexander Smirnov , Mao Zeng
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