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The gravitational radiation power of a binary system in a noncommutative space is derived and it's rate of the period decrease is calculated to first order in noncommutativity parameter. By comparing the theoretical results with the…

General Relativity and Quantum Cosmology · Physics 2014-11-25 A. Jahan , N. Sadeghnezhad

We discuss subtle points of the momentum balance for radiating particles in flat and curved space-time. An instantaneous balance is obscured by the presence of the Schott term which is a finite part of the bound field momentum. To establish…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Dmitri Gal'tsov

The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\ 4th post-Newtonian (4PN) order, and up to quadratic order in…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Piotr Jaranowski , Gerhard Schäfer

We present the analytic evaluation of the gravitational energy and of the angular momentum flux with tidal effects for inspiraling compact binaries, at next-to-next-to-leading post-Newtoian (2PN) order, within the effective field theory…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

Working within the post-Minkowskian approach to General Relativity, we prove that the radiation-reaction to the emission of gravitational waves during the large-impact-parameter scattering of two (classical) point masses modifies the…

General Relativity and Quantum Cosmology · Physics 2020-12-09 Thibault Damour

We present and discuss the possibility, derived from work carried out 20 years ago, that the equations of motion for compact binary neutron stars at the third post-Newtonian (3PN) order in general relativity might actually depend on the…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Clifford M. Will

We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Luc Blanchet , Athanassios S. Fokas

The second post-Newtonian (2PN) contribution to the `plus' and `cross' gravitational wave polarizations associated with gravitational radiation from non-spinning, compact binaries moving in elliptic orbits is computed. The computation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. Gopakumar , Bala R. Iyer

The equations of motion of compact binary systems and their associated Lagrangian formulation have been derived in previous works at the third post-Newtonian (3PN) approximation of general relativity in harmonic coordinates. In the present…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet , Bala Iyer

We study the radiation of gravitational waves by self-gravitating binary systems in the low-energy limit of Horava gravity. We find that the predictions for the energy-loss formula of General Relativity are modified already for Newtonian…

General Relativity and Quantum Cosmology · Physics 2011-10-11 Diego Blas , Hillary Sanctuary

We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Quentin Henry

Using post-Newtonian equations of motion for fluid bodies valid to the second post-Newtonian order, we derive the equations of motion for binary systems with finite-sized, non-spinning but arbitrarily shaped bodies. In particular we study…

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

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Vegard Undheim

The gravitational waveform (GWF) generated by inspiralling compact binaries moving in quasi-circular orbits is computed at the third post-Newtonian (3PN) approximation to general relativity. Our motivation is two-fold: (i) To provide…

General Relativity and Quantum Cosmology · Physics 2012-10-22 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Siddhartha Sinha

We compute the third post-Newtonian (3PN) accurate instantaneous contributions to the radiated gravitational wave (GW) energy and angular momentum arising from the hyperbolic passages of non-spinning compact objects. The present…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Gihyuk Cho , Subhajit Dandapat , Achamveedu Gopakumar

The post-Newtonian expansion appears to be a relevant tool for predicting the gravitational waveforms generated by some astrophysical systems such as binaries. In particular, inspiralling compact binaries are well-modelled by a system of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet

We compute the energy flux of the gravitational waves radiated by a particle of mass $\m$ in circular orbits around a rotating black hole of mass $M$ up to the 11th post-Newtonian order (11PN), i.e. $v^{22}$ beyond the leading Newtonian…

General Relativity and Quantum Cosmology · Physics 2015-03-27 Ryuichi Fujita

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

Up to the third post-Newtonian (3PN) order, we compute (i) the current-type quadrupole moment of (non-spinning) compact binary systems, as well as (ii) the corresponding gravitational-wave mode $(2,1)$ (constituting a 3.5PN correction in…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Quentin Henry , Guillaume Faye , Luc Blanchet
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