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Related papers: Recoil velocity at 2PN order for spinning black ho…

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We make a comparison between results from numerically generated, quasi-equilibrium configurations of compact binary systems of black holes in close orbits, and results from the post-Newtonian approximation. The post-Newtonian results are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thierry Mora , Clifford M. Will

The gravitational recoil or "kick" of a black hole formed from the merger of two orbiting black holes, and caused by the anisotropic emission of gravitational radiation, is an astrophysically important phenomenon. We combine (i) an earlier…

General Relativity and Quantum Cosmology · Physics 2010-01-28 Alexandre Le Tiec , Luc Blanchet , Clifford M. Will

We derive gravitational waveforms needed to compute the 14th post-Newtonian (14PN) order energy flux for a particle in circular orbit around a Schwarzschild black hole, i.e. $v^{28}$ beyond the leading Newtonian approximation where $v$ is…

General Relativity and Quantum Cosmology · Physics 2012-08-28 Ryuichi Fujita

We review the developments in modeling gravitational recoil from merging black-hole binaries and introduce a new set of 20 simulations to test our previously proposed empirical formula for the recoil. The configurations are chosen to…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Yosef Zlochower , Manuela Campanelli , Carlos O. Lousto

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

We study eccentric equatorial orbits of a test-body around a Kerr black hole under the influence of gravitational radiation reaction. We have adopted a well established two-step approach: assuming that the particle is moving along a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kostas Glampedakis , Daniel Kennefick

We compute and analyze the gravitational waveform emitted to future null infinity by a system of two black holes in the large mass ratio limit. We consider the transition from the quasi-adiabatic inspiral to plunge, merger, and ringdown.…

General Relativity and Quantum Cosmology · Physics 2011-12-07 Sebastiano Bernuzzi , Alessandro Nagar , Anil Zenginoglu

We compute the radiation emitted by a particle on the innermost stable circular orbit of a rapidly spinning black hole both (a) analytically, working to leading order in the deviation from extremality and (b) numerically, with a new…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Samuel E. Gralla , Achilleas P. Porfyriadis , Niels Warburton

We compute the gravitational radiation generated in the evolution of a family of close binary black hole configurations, using a combination of numerical and perturbative approximation methods. We evolve the binaries with spins, $s$,…

Astrophysics · Physics 2009-11-07 J. Baker , M. Campanelli , C. O. Lousto , R. Takahashi

The instantaneous contributions to the 3PN gravitational wave luminosity from the inspiral phase of a binary system of compact objects moving in a quasi elliptical orbit is computed using the multipolar post-Minkowskian wave generation…

General Relativity and Quantum Cosmology · Physics 2009-11-13 K. G. Arun , Luc Blanchet , Bala R. Iyer , Moh'd S. S. Qusailah

We infer recoil (kick) velocities for all binary black hole merger events reported up to the GWTC--4 catalog, together with candidate intermediate-mass black hole events. We obtain informative kick constraints for GW231028\_153006…

High Energy Astrophysical Phenomena · Physics 2026-04-07 Tousif Islam

Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination angle, precession phase and spin vectors as…

General Relativity and Quantum Cosmology · Physics 2010-01-19 Dong-Hoon Kim

Within the framework of self-force theory, we compute the gravitational-wave energy flux through second order in the mass ratio for compact binaries in quasicircular orbits. Our results are consistent with post-Newtonian calculations in the…

General Relativity and Quantum Cosmology · Physics 2021-10-12 Niels Warburton , Adam Pound , Barry Wardell , Jeremy Miller , Leanne Durkan

We construct new models of black hole-neutron star binaries in quasiequilibrium circular orbits by solving Einstein's constraint equations in the conformal thin-sandwich decomposition together with the relativistic equations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keisuke Taniguchi , Thomas W. Baumgarte , Joshua A. Faber , Stuart L. Shapiro

We present results from fully nonlinear simulations of unequal mass binary black holes plunging from close separations well inside the innermost stable circular orbit with mass ratios q = M_1/M_2 = {1,0.85,0.78,0.55,0.32}, or equivalently,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 F. Herrmann , I. Hinder , D. Shoemaker , P. Laguna

The mass and spin of black holes (BHs) in binary systems may change due to the infall of gravitational-wave (GW) energy down the horizons. For spinning BHs, this effect enters at 2.5 post-Newtonian (PN) order relative to the leading-order…

General Relativity and Quantum Cosmology · Physics 2023-04-19 M. V. S. Saketh , Jan Steinhoff , Justin Vines , Alessandra Buonanno

Observations of gravitational waves from massive binary black hole systems at cosmological distances can be used to search for a dependence of the speed of propagation of the waves on wavelength, and thereby to bound the mass of a…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Adamantios Stavridis , Clifford M. Will

We give here a new third post-Newtonisn (3PN) spin-spin contribution (in the PN parameter $\epsilon $) to the accumulated orbital phase of a compact binary, arising from the spin-orbit precessional motion of the spins. In the equal mass…

General Relativity and Quantum Cosmology · Physics 2009-11-13 László Á. Gergely , Balázs Mikóczi

Recent years have seen significant advances in models of gravitational waveforms emitted by quasicircular compact binaries in two regimes: the weak-field, post-Newtonian regime, in which the gravitational wave energy flux has now been…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Niels Warburton , Barry Wardell , David Trestini , Quentin Henry , Adam Pound , Luc Blanchet , Leanne Durkan , Guillaume Faye , Jeremy Miller

We present the gravitational-wave flux balance law in an extreme mass-ratio binary with a spinning secondary. This law relates the flux of energy (angular momentum) radiated to null infinity and through the event horizon to the local change…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Sarp Akcay , Sam R. Dolan , Chris Kavanagh , Jordan Moxon , Niels Warburton , Barry Wardell