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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

Whenever the integrand of a gauge-theory loop amplitude can be arranged into a form where the BCJ duality between color and kinematics is manifest, a corresponding gravity integrand can be obtained simply via the double-copy procedure.…

High Energy Physics - Theory · Physics 2017-05-10 Zvi Bern , John Joseph Carrasco , Wei-Ming Chen , Henrik Johansson , Radu Roiban

We study gravitational radiation reaction in the equations of motion for binary systems with spin-orbit coupling, at order (v/c)^7 beyond Newtonian gravity, or O(v/c)^2 beyond the leading radiation reaction effects for non-spinning bodies.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jing Zeng , Clifford M. Will

The double copy relates scattering amplitudes in gauge and gravity theories, and has also been extended to classical solutions. In this paper, we study solutions in three spacetime dimensions, where the double copy may be expected to be…

High Energy Physics - Theory · Physics 2019-05-02 Mariana Carrillo González , Brandon Melcher , Kenneth Ratliff , Scott Watson , Chris D. White

We compute the contribution to the two-body scattering angle of a specific class of interactions involving the exchange of gravitational radiative degrees of freedom, including the nonlinear memory process and square of radiation reaction…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

We use Effective Field Theory techniques to derive the quadrupole-quadrupole part of the gravitational wave, obtaining a waveform in agreement with previous results found within the multipolar-post-Minkowskian method. In particular we…

General Relativity and Quantum Cosmology · Physics 2025-06-23 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani

Gravitational waves from compact binary inspirals offer a new opportunity to constrain the cosmological time dependence of gravitational coupling parameters, due to the high precision of the observations themselves as well as the…

General Relativity and Quantum Cosmology · Physics 2025-10-13 Oliver Pitt , Timothy Clifton

The Kepler's third law is a relation between the period and the energy of two classical particles interacting via a gravitational potential. Recent works showed that this law could be extended, at least approximately, to classical…

General Physics · Physics 2021-03-26 C. Semay , C. T. Willemyns

The gravitational radiation originating from a compact binary system in circular orbit is usually expressed as an infinite sum over radiative multipole moments. In a slow-motion approximation, each multipole moment is then expressed as a…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Stephen W. Leonard , Eric Poisson

We derive the equations of motion of an extended test body in the context of Einstein's theory of gravitation. The equations of motion are obtained via a multipolar approximation method and are given up to the quadrupolar order. Special…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jan Steinhoff , Dirk Puetzfeld

In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Domenico Giulini , André Großardt , Philip K. Schwartz

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 consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

General Relativity and Quantum Cosmology · Physics 2026-04-03 Donato Bini , Giorgio Di Russo

We establish and develop a novel methodology to treat higher-order non-linear effects of gravitational radiation that is scattered from binary inspirals, which employs modern scattering-amplitudes methods on the effective picture of the…

High Energy Physics - Theory · Physics 2024-08-27 Alex Edison , Michèle Levi

The duality between color and kinematics was originally observed for purely adjoint massless gauge theories, and later found to hold even after introducing massive fermionic and scalar matter in arbitrary gauge-group representations. Such a…

High Energy Physics - Theory · Physics 2019-09-11 Henrik Johansson , Alexander Ochirov

This paper extends the research on the self-consistent effective-one-body theory of a real spinless two-body system based on the post-Minkowskian approximation (Science China, 65, 100411, (2022)) to the case of a binary system for the…

General Relativity and Quantum Cosmology · Physics 2024-09-26 Jiliang Jing , Weike Deng , Sheng Long , Jieci Wang

This paper constructs the multipole expansion (in general relativity) of the gravitational field generated by a slowly-moving isolated source. We introduce some definitions for the source multipole moments, valid to all orders in a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet

A novel approach for extracting gauge-invariant information about spin-orbit coupling in gravitationally interacting binary systems is introduced. This approach is based on the "scattering holonomy", i.e. the integration (from the infinite…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Donato Bini , Thibault Damour

The Kerr-Schild double copy relates exact solutions of gauge and gravity theories. In all previous examples, the gravity solution is associated with an abelian-like gauge theory object, which linearises the Yang-Mills equations. This…

High Energy Physics - Theory · Physics 2020-08-26 Luigi Alfonsi , Chris D. White , Sam Wikeley

The kinetic energy of a local system of objects placed in a curved spacetime is gained by the subsequent acceleration of the object following the more contracted region of spacetime. Normally this happens near massive gravitating stars.…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Eue Jin Jeong
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