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Starting from the recently obtained 2PN accurate forms of the energy and angular momentum fluxes from inspiralling compact binaries, we deduce the gravitational radiation reaction to 2PN order beyond the quadrupole approximation - 4.5PN…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Gopakumar , Bala R. Iyer , Sai Iyer

We present highly accurate, dimensionally-reduced gravitational waveforms for binary inspirals whose components have large spin-induced quadrupole moments. The spin-induced quadrupole of a body first appears in the phase of a waveform at…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Horng Sheng Chia , Thomas D. P. Edwards , Richard N. George , Aaron Zimmerman , Adam Coogan , Katherine Freese , Cody Messick , Christian N. Setzer

The set up of matched filters for the detection of gravitational waves from in-spiraling compact binaries is usually carried out using the restricted post-Newtonian approximation: the filter phase is modelled including post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. M. Sintes , A. Vecchio

Inspiraling compact binaries with non-negligible orbital eccentricities are plausible gravitational wave (GW) sources for the upcoming network of GW observatories. In this paper, we present two prescriptions to compute post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2016-05-17 Sashwat Tanay , Maria Haney , Achamveedu Gopakumar

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

General Relativity and Quantum Cosmology · Physics 2025-07-28 P. I. Dyadina

We provide universal expressions for the classical piece of the amplitude given by the graviton/photon exchange between massive particles of arbitrary spin, at both tree and one loop level. In the gravitational case this leads to higher…

High Energy Physics - Theory · Physics 2021-10-20 Alfredo Guevara

We compute the leading Post-Newtonian (PN) contributions at linear order in the spin to the radiation-reaction acceleration and spin evolution for binary systems, which enter at fourth PN order. The calculation is carried out, from first…

General Relativity and Quantum Cosmology · Physics 2017-11-08 Natália T. Maia , Chad R. Galley , Adam K. Leibovich , Rafael A. Porto

We compute the angular momentum flux from a non-circular nonspinning binary system of compact objects in massless scalar-tensor theories up to one and a half post-Newtonian (1.5PN) order using multipole moments. The angular momentum flux in…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Tamanna Jain , Piero Rettegno

Accurate waveform models are crucial for gravitational-wave data analysis, and since spin has a significant effect on the binary dynamics, it is important to improve the spin description in these models. In this paper, we derive the…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Mohammed Khalil

We review some recent works on the post-Newtonian theory of slowly-moving (post-Newtonian) sources, and its application to the problems of dynamics and gravitational radiation from compact binary systems. Our current knowledge is 3PN on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

We obtain for the first time all quadratic-in-spin interactions in spinning binaries at the third subleading order in post-Newtonian (PN) gravity, and provide their observable binding energies and their gauge-invariant relations to the…

High Energy Physics - Theory · Physics 2022-09-02 Jung-Wook Kim , Michèle Levi , Zhewei Yin

In this work we derive for the first time the complete gravitational cubic-in-spin effective action at the next-to-leading order in the post-Newtonian (PN) expansion for the interaction of generic compact binaries via the effective field…

High Energy Physics - Theory · Physics 2021-01-15 Michèle Levi , Stavros Mougiakakos , Mariana Vieira

1. Introduction 2. Basics and outline of the method 2.1 Regions around an isolated source 2.2 The quadrupole formalism 2.3 Outline of the method 3. Properties of radiative gravitational fields 3.1 The field in the exterior domain (D_e) 3.2…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

The spin effects at high energies and momenta transferred $|t|>1 GeV^2$ are analysed for quark-photon scattering. The energy independence of the ratio of spin-flip and spin-non-flip amplitudes in the same $\alpha_s$ order of QCD is…

High Energy Physics - Phenomenology · Physics 2011-08-17 S. V. Goloskokov , O. A. Listopadov

We propose a novel method to test the consistency of the multipole moments of compact binary systems with the predictions of General Relativity (GR). The multipole moments of a compact binary system, known in terms of symmetric and…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

We derive the equations of motion of spinning compact binaries including the spin-orbit (SO) coupling terms one post-Newtonian (PN) order beyond the leading-order effect. For black holes maximally spinning this corresponds to 2.5PN order.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guillaume Faye , Luc Blanchet , Alessandra Buonanno

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 generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular…

General Relativity and Quantum Cosmology · Physics 2010-10-05 János Majár , Péter Forgács , Mátyás Vasúth

In this comment we explain the discrepancy found between the results in arXiv:0712.1716v1 for the 3PN spin-spin potential and those previously derived in gr-qc/0604099. We point out that to compare one must include sub-leading lower order…

General Relativity and Quantum Cosmology · Physics 2007-12-13 Rafael A. Porto , Ira Z. Rothstein
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