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The inspiral of compact binaries, driven by gravitational-radiation reaction, is investigated through 7/2 post-Newtonian (3.5PN) order beyond the quadrupole radiation. We outline the derivation of the 3.5PN-accurate binary's center-of-mass…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Benoit Joguet

We consider three different approaches (by Ashtekar, Bonga and Kesavan; Hoque and Virmani; and Dobkowski-Ry\l{}ko and Lewandowski) to investigate gravitational radiation produced by time changing matter source in de Sitter spacetime. All of…

General Relativity and Quantum Cosmology · Physics 2024-07-31 Denis Dobkowski-Ryłko , Jerzy Lewandowski

Alternative theories of gravity not only modify the polarization contents of the gravitational wave, but also affect the motions of the stars and the energy radiated away via the gravitational radiation. These aspects leave imprints in the…

General Relativity and Quantum Cosmology · Physics 2018-03-28 Shaoqi Hou , Yungui Gong

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet , Guillaume Faye , Bénédicte Ponsot

Existing estimates of the gravitational-wave damping timescale of the dominant quadrupole oscillation mode in the case of rapidly rotating stars are based on using a Newtonian estimate for the energy of the mode, in combination with the…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Georgios Lioutas , Nikolaos Stergioulas

We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

This work concerns the loss of energy of a material system due to gravitational radiation in Einstein-aether theory-an alternative theory of gravity in which the metric couples to a dynamical, timelike, unit-norm vector field. Derived to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Brendan Z. Foster

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 a modified gravity theory, the propagation equation of gravitational waves will be presented in a non-standard way. Therefore this tenor mode perturbation of time-space, as a complement to the scalar mode perturbation, provides a unique…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Lixin Xu

A model of three-body motion is developed which includes the effects of gravitational radiation reaction. The radiation reaction due to the emission of gravitational waves is the only post-Newtonian effect that is included here. For…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Zachary E. Wardell

A large class of modified theories of gravity used as models for dark energy predict a propagation speed for gravitational waves which can differ from the speed of light. This difference of propagations speeds for photons and gravitons has…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Hermano Velten , Jose Beltrán Jiménez , Federico Piazza

Binary pulsars offer a unique natural laboratory to test General Relativity (GR) and probe for deviations from its paradigm, as predicted by alternative theories of gravity. In this paper, we study two such possible deviations: a time…

General Relativity and Quantum Cosmology · Physics 2025-07-25 S. Bussieres , M. Caldarola , S. Nesseris

We study the gravitational radiation reaction in compact binary systems composed of neutron stars with spin and huge magnetic dipole moments (magnetars). The magnetic dipole moments undergo a precessional motion about the respective spins.…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Mátyás Vasúth , Zoltán Keresztes , András Mihály , László Á. Gergely

The orbital energy and momentum of the compact binary systems will loss due to gravitational radiation. Based on the mass and mass-current multipole moments of the binary system with the spin vector defined by Boh\'{e} et al. [Class.…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Hao Zhang , Wei Gao , Guansheng He , Siming Liu , Huanyu Jia , Wenbin Lin

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

Corrections to the relativistic theory of orbits are discussed considering higher order approximations induced by gravitomagnetic effects. Beside the standard periastron effect of General Relativity (GR), a new nutation effect was found due…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Salvatore Capozziello , Mariafelicia De Laurentis , Luca Forte , Fabio Garufi , Leopoldo Milano

We investigate the possibility of generating sizeable dipole radiations in relativistic theories of gravity. Optimal parameters to observe their effects through the orbital period decay of binary star systems are discussed. Constraints on…

General Relativity and Quantum Cosmology · Physics 2007-08-14 J. -M. Gerard , Y. Wiaux

We compute the gravitational waveform from a binary system in scalar-tensor gravity at 2PN relative order. We restrict our calculation to non-spinning binary systems on quasi-circular orbits and compute the spin-weighted spherical modes of…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Noah Sennett , Sylvain Marsat , Alessandra Buonanno

Gravitational waves are excellent tools to probe the foundations of General Relativity in the strongly dynamical and non-linear regime. One such foundation is Lorentz symmetry, which can be broken in the gravitational sector by the…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Devin Hansen , Nicolas Yunes , Kent Yagi