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The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Luc Blanchet

We compute tail contributions to the conservative dynamics of a generic self-gravitating system, for every multipole order, of either electric and magnetic parity. Such contributions arise when gravitational radiation is backscattered by…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

Within the framework of self-force theory, we compute the gravitational-wave energy flux through second order in the mass ratio for compact binaries in quasicircular orbits. Our results are consistent with post-Newtonian calculations in the…

General Relativity and Quantum Cosmology · Physics 2021-10-12 Niels Warburton , Adam Pound , Barry Wardell , Jeremy Miller , Leanne Durkan

The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

We clarify the relation between the classical double copy and the double copy for amplitudes in the setting of selfdual gauge and gravity theories. To this end we construct explicit all-order perturbative solutions in these theories and…

High Energy Physics - Theory · Physics 2025-03-21 Joris Raeymaekers

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Thibault Damour

We describe a systematic framework for computing the conservative potential of a compact binary system using modern tools from scattering amplitudes and effective field theory. Our approach combines methods for integration and matching…

High Energy Physics - Theory · Physics 2020-02-17 Zvi Bern , Clifford Cheung , Radu Roiban , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

We extend the perturbative classical double copy to the analysis of bound systems. We first obtain the leading order perturbative gluon radiation field sourced by a system of interacting color charges in arbitrary time dependent orbits, and…

High Energy Physics - Theory · Physics 2018-05-02 Walter D. Goldberger , Alexander K. Ridgway

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 energy of a compact binary system at the fifth post-Newtonian order is explicitly computed in the post-Minkowskian approximation by means of the Effective Field Theory approach. This result allows to determine, for the first time beyond…

General Relativity and Quantum Cosmology · Physics 2014-01-27 Stefano Foffa

We look for a classical double copy structure between gravity and electrodynamics by connecting the descriptions of the scattering of two point masses, and of two point charges, in terms of perturbative (post-Minkowskian or post-Lorentzian)…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Anna Ceresole , Thibault Damour , Alessandro Nagar , Piero Rettegno

Recently, an intriguing relationship (the "double copy") has been discovered between theories like electromagnetism, and gravity. This potentially gives us a new way to think about gravity, and there are also practical applications…

Optics · Physics 2021-11-03 Chris D. White

The need for more and more accurate gravitational wave templates requires taking into account all possible contributions to the emission of gravitational radiation from a binary system. Therefore, working within a…

General Relativity and Quantum Cosmology · Physics 2022-03-17 Donato Bini , Andrea Geralico

We explore the double copy for self-dual gauge and gravitational fields on self-dual background spacetimes. We consider backgrounds associated to solutions of the second Plebanski equation and describe results with different gauge-fixing…

High Energy Physics - Theory · Physics 2023-11-27 Graham R. Brown , Joshua Gowdy , Bill Spence

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical,…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Adam Pound , Barry Wardell , Niels Warburton , Jeremy Miller

We establish a correspondence between perturbative classical gluon and gravitational radiation emitted by spinning sources, to linear order in spin. This is an extension of the non-spinning classical perturbative double copy and uses the…

High Energy Physics - Theory · Physics 2018-06-06 Jingping Li , Siddharth G. Prabhu

The orbital energy and momentum of the compact binary systems will loss due to gravitational radiation. Based on the mass and mass-current multipole moments of the binary system with the spin vector defined by Boh\'{e} et al. [Class.…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Hao Zhang , Wei Gao , Guansheng He , Siming Liu , Huanyu Jia , Wenbin Lin

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

[Abridged] This review surveys the theory of gravitational self-force in curved spacetime and its application to the gravitational two-body problem in the extreme-mass-ratio regime. We first lay the relevant formal foundation, describing…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Leor Barack , Adam Pound
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