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The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

It is generally believed that coupling the graviton (a classical Fierz-Pauli massless spin-2 field) to its own energy-momentum tensor successfully recreates the dynamics of the Einstein field equations order by order; however the validity…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Luke M. Butcher , Michael Hobson , Anthony Lasenby

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

The aim of this work is twofold: (i) to properly define a wave-generation formalism for compact-supported sources embedded in Einstein-Maxwell theory, relying on matched post-Newtonian and multipolar-post-Minkowskian expansions; (ii) to…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Quentin Henry , François Larrouturou , Christophe Le Poncin-Lafitte

We compute the gravitational-wave (GW) energy flux up to the next-to-next-to-leading (NNL) order of tidal effects in a spinless compact binary system on quasi-circular orbits. Starting from an effective matter action, we obtain the…

General Relativity and Quantum Cosmology · Physics 2024-11-15 Quentin Henry , Guillaume Faye , Luc Blanchet

The energy-loss formula of the production of gravitons by the binary is derived in the source theory formulation of gravity. Then, the quantum energy-loss formula involving radiative corrections is derived. We postulate an idea that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Miroslav Pardy

To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Soichiro Isoyama , Riccardo Sturani , Hiroyuki Nakano

Thanks to the new generation of gravitational wave detectors LIGO and VIRGO, the theory of general relativity will face new and important confrontations to observational data with unprecedented precision. Indeed the detection and analysis…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Luc Blanchet

We present a calculation of the conservative two-body Hamiltonian of a compact binary system including a spinning black hole. We include up-to third order corrections in Newton's constant $G$, all orders in velocity, and linear and…

High Energy Physics - Phenomenology · Physics 2023-10-17 Fernando Febres Cordero

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

General Relativity and Quantum Cosmology · Physics 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno

We investigate two-loop higher-order binding corrections to the fine structure, which contribute to the spin-dependent part of the Lamb shift. Our calculation focuses on the so-called ``two-loop self-energy'' involving two virtual closed…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ulrich D. Jentschura , Krzysztof Pachucki

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec

We derive an expression for the second-order gravitational self-force that acts on a self-gravitating compact-object moving in a curved background spacetime. First we develop a new method of derivation and apply it to the derivation of the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Eran Rosenthal

We consider radiation emitted by colour-charged and massive particles crossing strong plane wave backgrounds in gauge theory and gravity. These backgrounds are treated exactly and non-perturbatively throughout. We compute the back-reaction…

High Energy Physics - Theory · Physics 2020-10-28 Tim Adamo , Anton Ilderton

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two non-spinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Alexandre Le Tiec , Enrico Barausse , Alessandra Buonanno

We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in $G$ and at all orders in the velocities, using the effective field…

High Energy Physics - Theory · Physics 2022-10-26 Stavros Mougiakakos , Massimiliano Maria Riva , Filippo Vernizzi

The double copy is a much-studied relationship between scattering amplitudes in gauge and gravity theories, that has subsequently been extended to classical field solutions. In nearly all previous examples, the graviton field is defined…

High Energy Physics - Theory · Physics 2018-01-17 Nadia Bahjat-Abbas , Andrés Luna , Chris D. White

We present a study on binary-single interactions with energy loss terms such as tidal dissipation and gravitational wave emission added to the equation-of-motion. The inclusion of such terms leads to the formation of compact binaries that…

High Energy Astrophysical Phenomena · Physics 2018-02-14 Johan Samsing , Morgan MacLeod , Enrico Ramirez-Ruiz

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

A straightforward and fully analytic approach is introduced to examine how polytropic fluids influence arbitrary gravitational sources in static, spherically symmetric spacetimes. As a concrete application, we explore the internal mechanism…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Daulet Berkimbayev
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