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Related papers: Tail contributions to gravitational conservative d…

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The tails of gravitational waves are caused by scattering of linear waves onto the space-time curvature generated by the total mass-energy of the source. Quite naturally, the tails of tails are caused by curvature scattering of the tails of…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Luc Blanchet

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

In the context of the two-body problem in General Relativity, hereditary terms in the long range gravitational field depend on the history rather than the instantaneous state of the source at retarded time. We compute the next-to leading…

General Relativity and Quantum Cosmology · Physics 2021-06-10 Stefano Foffa , Riccardo Sturani

We present a simple intuitive derivation of the corrections to the intensity of gravitational radiation due to the so-called tail effect.

General Relativity and Quantum Cosmology · Physics 2009-10-30 I. B. Khriplovich , A. A. Pomeransky

We revisit several aspects of the interaction of self-gravitating, slowly varying sources with their own emitted radiation within the context of post-Newtonian approximation to General Relativity. We discuss and clarify the choice of…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Stefano Foffa , Riccardo Sturani

We report the local-in-time conservative dynamics of nonspinning binary systems at fifth Post-Minkowskian (5PM) and first self-force (1SF) orders. This follows from an explicit calculation of the 5PM/1SF nonlocal-in-time tail-type…

High Energy Physics - Theory · Physics 2025-06-26 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

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

We apply the classical double copy to the calculation of self-energy of composite systems with multipolar coupling to gravitational field, obtaining next-to-leading order results in the gravitational coupling $G_N$ by generalizing color to…

General Relativity and Quantum Cosmology · Physics 2020-12-14 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

The inspiral of compact binaries, driven by gravitational-radiation reaction, is investigated through 7/2 post-Newtonian (3.5PN) order beyond the quadrupole radiation. We outline the derivation of the 3.5PN-accurate binary's center-of-mass…

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

We compute the conservative dynamics of non-spinning binaries at fourth Post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is achieved by obtaining the scattering angle…

High Energy Physics - Theory · Physics 2022-05-30 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We study a novel cubic nonlinear effect, the tails-of-memory, which consist of a combination of the tail effect (backscattering of linear gravitational waves against the curvature of spacetime generated by the source) and the memory effect…

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

Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics…

High Energy Physics - Theory · Physics 2024-05-07 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

In this short review we present a self-contained exposition of the effective field theory method approach to model the dynamics of gravitationally bound compact binary systems within the post-Newtonian approximation to General Relativity.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Stefano Foffa , Riccardo Sturani

We introduce a new methodology for deriving the conservative dynamics of gravitationally interacting binary systems. Our approach combines, in a novel way, several theoretical formalisms: post-Newtonian, post-Minkowskian,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Donato Bini , Thibault Damour , Andrea Geralico

Compact binary systems with spinning components are considered. Finite size effects due to rotational deformation are taken into account. The dynamical evolution and next to leading order gravitational wave forms are calculated, taking into…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dörte Hansen

A recently introduced approach to the gravitational dynamics of binary systems involves intricate integrals, linked to nonlocal-in-time interactions arising at the 5-loop level of classical gravitational scattering. We complete the…

General Relativity and Quantum Cosmology · Physics 2020-08-24 Donato Bini , Thibault Damour , Andrea Geralico , Stefano Laporta , Pierpaolo Mastrolia

We consider the effects of quartic self-interactions on the dynamics of a binary system due to a (nearly) massless scalar field conformally coupled to matter. We investigate the deviations from General Relativity at the conservative level…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Philippe Brax , Emma Bruyère

Using the new methodology introduced in a recent Letter [Phys.\ Rev.\ Lett.\ {\bf 123}, 231104 (2019)], we present the details of the computation of the conservative dynamics of gravitationally interacting binary systems at the fifth…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Donato Bini , Thibault Damour , Andrea Geralico

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang