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We derive the gravitational radiation-reaction (RR) force in the harmonic coordinate system at the fourth-and-a-half post-Newtonian (4.5PN) order in the case of compact binary systems. Dimensional regularization is used to treat the…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Luc Blanchet , Guillaume Faye , Emeric Seraille , David Trestini

We compute the radiation reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Samaya Nissanke , Luc Blanchet

We compute the gravitational radiation-reaction force on a compact binary source at the fourth-and-a-half post-Newtonian (4.5PN) order of general relativity, i.e., 2PN order beyond the leading 2.5PN radiation reaction. The calculation is…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Luc Blanchet , Guillaume Faye , David Trestini

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 discuss gravitational waves from merging binaries using a Newtonian approach with some inputs from the Post-Newtonian formalism. We show that it is possible to understand the key features of the signal using fundamental physics and also…

Popular Physics · Physics 2019-12-20 Jahanvi , Ashish Kumar Meena , J. S. Bagla

Gravitational radiation reaction forces and balance equations for energy and momenta are investigated to 3/2 post-Newtonian (1.5PN) order beyond the quadrupole approximation, corresponding to the 4PN order in the equations of motion of an…

General Relativity and Quantum Cosmology · Physics 2011-09-09 L. Blanchet

In the quadrupole approximation of General Relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the…

General Relativity and Quantum Cosmology · Physics 2019-09-11 A. Miguel Holgado , Paul M. Ricker

Mergers of binary neutron stars and black hole-neutron star binaries produce gravitational-wave (GW) emission and outflows with significant kinetic energies. These outflows result in radio emissions through synchrotron radiation. We explore…

High Energy Astrophysical Phenomena · Physics 2016-11-15 Kenta Hotokezaka , Samaya Nissanke , Gregg Hallinan , T. Joseph W. Lazio , Ehud Nakar , Tsvi Piran

We derive the radiation reaction forces on a compact binary inspiral through 3.5 order in the post-Newtonian expansion using the effective field theory approach. We utilize a recent formulation of Hamilton's variational principle that…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Chad R. Galley , Adam K. Leibovich

We address issues with extant formulations of dissipative effects in the effective field theory (EFT) which describes the post-Newtonian (PN) inspiral of two gravitating bodies by (re)formulating several parts of the theory. Novel…

High Energy Physics - Theory · Physics 2015-09-28 Ofek Birnholtz , Shahar Hadar , Barak Kol

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total…

High Energy Physics - Theory · Physics 2023-03-29 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Jakob Neef , Rafael A. Porto

Whilst most of the binary configurations in modified theories of gravity are studied under quasi-circular orbit limit, eccentricity effects could play a significant role in future gravitational wave detections. We derive the gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Tamanna Jain , Piero Rettegno

We consider the polarization characteristics of the electromagnetic (EM) counterpart of the gravitational wave (GW) created by coalescence of the binary sources. Here, we explore the impact of the photon-graviton interaction on the…

High Energy Astrophysical Phenomena · Physics 2018-11-27 Soroush Shakeri , Alireza Allahyari

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

Observations of short-duration gamma-ray bursts and their afterglows show that a good fraction (perhaps $\gtrsim50\%$) of binary neutron star mergers lead to strongly magnetized, rapidly rotating pulsars (including millisecond magnetars),…

High Energy Astrophysical Phenomena · Physics 2019-02-22 Z. G. Dai

Gravitational radiation-reaction phenomena occurring in the dynamics of inspiralling compact binary systems are investigated at the first post-Newtonian order beyond the quadrupole approximation in the context of Einstein-Cartan theory,…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vittorio De Falco , Emmanuele Battista , Davide Usseglio , Salvatore Capozziello

Close binaries of double white dwarfs (DWDs) inspiral and merge by emitting gravitational wave (GW). Orbital motion of some of these binaries are expected to be observed at low frequency band by space-borne laser interferometric detectors…

High Energy Astrophysical Phenomena · Physics 2021-01-13 Shin'ichirou Yoshida

We provide calculations and theoretical arguments supporting the emission of electromagnetic radiation from charged particles accelerated by gravitational waves (GWs). These waves have significant indirect evidence to support their…

General Relativity and Quantum Cosmology · Physics 2015-02-04 Mitchell Revalski , Will Rhodes , Thulsi Wickramasinghe

The gravitational wave signal produced by the merger of two compact objects includes both an oscillatory transient and a non-oscillatory part, the so-called memory effect. This produces a permanent displacement of test masses and has not…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Jamie Bamber , Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro , Marc Favata , Matthew Karlson , Fabrizio Venturi Piñas
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