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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

We use the effective field theory (EFT) framework to calculate the tail effect in gravitational radiation reaction, which enters at 4PN order in the dynamics of a binary system. The computation entails a subtle interplay between the near…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Chad R. Galley , Adam K. Leibovich , Rafael A. Porto , Andreas Ross

We introduce a novel framework to study high-order gravitational effects on a binary from the scattering of its emitted gravitational radiation. Here we focus on the radiation-reaction due to the background of the binary's gravitational…

High Energy Physics - Theory · Physics 2022-12-29 Alex Edison , Michèle Levi

We compute the contribution to the Lagrangian from the leading order (2.5 post-Newtonian) radiation reaction and the quadrupolar gravitational waves emitted from a binary system using the effective field theory (EFT) approach of Goldberger…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Chad R. Galley , Manuel Tiglio

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 combine different techniques to extract information about the logarithmic contributions to the two-body conservative dynamics within the post-Newtonian (PN) approximation of General Relativity. The logarithms come from the conservative…

General Relativity and Quantum Cosmology · Physics 2020-07-09 Luc Blanchet , Stefano Foffa , François Larrouturou , Riccardo Sturani

We show that the correction to the gravitational binding energy for binary black holes due to the tail effect resembles the Lamb shift in the Hydrogen atom. In both cases a 'conservative' effect arises from interactions with 'radiation'…

General Relativity and Quantum Cosmology · Physics 2017-08-09 Rafael A. Porto

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

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

Starting from the recently derived conservative tail-of-tail action [D. Bini and T. Damour, arXiv:2504.20204 [hep-th]] we compute several dynamical observables of binary systems (Delaunay Hamiltonian, scattering angle), at the 6.5…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Donato Bini , Thibault Damour , Andrea Geralico

We derive the effective action governing the dynamics of a compact binary system when gravitational radiation is emitted by any mass or current multipole, scattered by the quasi-static field associated with the binary's angular momentum,…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani

Gravitational waves contain tail effects which are due to the back-scattering of linear waves in the curved space-time geometry around the source. In this paper we improve the knowledge and accuracy of the two-body inspiraling…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Luc Blanchet , Alessandra Buonanno , Guillaume Faye

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 use the effective field theory for gravitational bound states, proposed by Goldberger and Rothstein, to compute the interaction Lagrangian of a binary system at the second Post-Newtonian order. Throughout the calculation, we use a metric…

General Relativity and Quantum Cosmology · Physics 2009-02-11 James B. Gilmore , Andreas Ross

Gravitational-wave tails are due to the backscattering of linear waves onto the space-time curvature generated by the total mass of the matter source. The dominant tails correspond to quadratic non-linear interactions and arise at the…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Tanguy Marchand , Luc Blanchet , Guillaume Faye

We re-analyze the far zone contribution to the two-body conservative dynamics arising from interaction between radiative and longitudinal modes, the latter sourced by mass and angular momentum, which in the mass case is known as tail…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani

Within the framework of the effective field theory approach to the post-Newtonian approximation to General Relativity, we report the so far missing G^3 and G^4 sectors of the conservative two body dynamics at fourth perturbative order for…

General Relativity and Quantum Cosmology · Physics 2019-08-06 Stefano Foffa , Riccardo Sturani

In the description of the relativistic two-body interaction, together with the effects of energy and angular momentum losses due to the emission of gravitational radiation, one has to take into account also the loss of linear momentum,…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Donato Bini , Andrea Geralico

A binary system composed of an oscillating and rotating coplanar dusty disk and a point mass is considered. The conservative dynamics is treated on the Newtonian level. The effects of gravitational radiation reaction and wave emission are…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Dörte Hansen

We calculate the potential contributions of the motion of binary mass systems in gravity to the fifth post--Newtonian order ab initio using coupling and velocity expansions within an effective field theory approach based on Feynman…

General Relativity and Quantum Cosmology · Physics 2021-03-03 J. Blümlein , A. Maier , P. Marquard , G. Schäfer
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