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Binary black hole spacetimes with a helical Killing vector, which are discussed as an approximation for the early stage of a binary system, are studied in a projection formalism. In this setting the four dimensional Einstein equations are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Klein

The ringdown phase of a black hole formed from the merger of two orbiting black holes is described by means of the close-limit (CL) approximation starting from second-post-Newtonian (2PN) initial conditions. The 2PN metric of point-particle…

General Relativity and Quantum Cosmology · Physics 2010-01-29 Alexandre Le Tiec , Luc Blanchet

The inspiral and merger of binary black holes will likely involve black holes with both unequal masses and arbitrary spins. The gravitational radiation emitted by these binaries will carry angular as well as linear momentum. A net flux of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Frank Herrmann , Ian Hinder , Deirdre Shoemaker , Pablo Laguna , Richard A. Matzner

We study binary spinning black holes to display the long term individual spin dynamics. We perform a full numerical simulation starting at an initial proper separation of $d\approx25M$ between equal mass holes and evolve them down to merger…

General Relativity and Quantum Cosmology · Physics 2015-04-16 Carlos O. Lousto , James Healy

We present the first fully relativistic longterm numerical evolutions of three equal-mass black holes in a system consisting of a third black hole in a close orbit about a black-hole binary. We find that these close-three-black-hole systems…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

We use the canonical Hamiltonian formalism to generalize to spinning point particles the first law of mechanics established for binary systems of non-spinning point masses moving on circular orbits [Le Tiec, Blanchet, and Whiting, Phys.…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Luc Blanchet , Alessandra Buonanno , Alexandre Le Tiec

Using the Multipolar post-Minskowskian formalism, we compute the linear momentum flux from black-hole binaries in circular orbits and having no spins. The total linear momentum flux contains various types of instantaneous (which are…

General Relativity and Quantum Cosmology · Physics 2013-04-23 Chandra Kant Mishra , K G Arun , Bala R Iyer

The purpose of this paper is twofold. First, we introduce a geometric approach to study the circular orbit of a particle in static and spherically symmetric spacetime based on Jacobi metric. Second, we apply the circular orbit to study the…

General Relativity and Quantum Cosmology · Physics 2020-06-29 Zonghai Li , Guodong Zhang , Ali Övgün

We consider circular particle motion under the action of an unspecified force in a static spherically symmetric spacetime. We derive the machinery that allows one to find the force acting on a circular particle and deduce whether its…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Hryhorii Ovcharenko , O. B. Zaslavskii

Recent calculations of the recoil velocity in black-hole binary mergers have found kick velocities of $\approx2500 $km/s for equal-mass binaries with anti-aligned initial spins in the orbital plane. In general the dynamics of spinning black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann , Jose Gonzalez , Mark Hannam , Sascha Husa , Ulrich Sperhake

The properties of precessing, coalescing binary black holes are presently inferred through comparison with two approximate models of compact binary coalescence. In this work we show these two models often disagree substantially when…

General Relativity and Quantum Cosmology · Physics 2018-01-03 A. R. Williamson , J. Lange , R. O'Shaughnessy , J. A. Clark , P. Kumar , J. Calderón Bustillo , J. Veitch

We study black hole MACHO binary formation through three-body interactions in the early universe at $t\sim 10^{-5}$s. The probability distribution functions of the eccentricity and the semimajor axis of binaries as well as of the…

Astrophysics · Physics 2009-10-30 Kunihito Ioka , Takeshi Chiba , Takahiro Tanaka , Takashi Nakamura

Recent calculations of gravitational radiation recoil generated during black-hole binary mergers have reopened the possibility that a merged binary can be ejected even from the nucleus of a massive host galaxy. Here we report the first…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower , David Merritt

A general method is presented for estimating the uncertainty in hybrid models of gravitational waveforms from binary black-hole systems with arbitrary physical parameters, and thence the highest allowable initial orbital frequency for a…

General Relativity and Quantum Cosmology · Physics 2011-10-10 Michael Boyle

We have used our new technique for fully numerical evolutions of orbiting black-hole binaries without excision to model the last orbit and merger of an equal-mass black-hole system. We track the trajectories of the individual apparent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Campanelli , C. O. Lousto , Y. Zlochower

We introduce a multipolar scheme for describing the structure of stationary, axisymmetric, force-free black-hole magnetospheres in the ``3+1'' formalism. We focus here on Schwarzschild spacetime, giving a complete classification of the…

Astrophysics · Physics 2009-10-31 Pranab Ghosh

This article explores the motion of massive particles in the gravitational field of a modified gravity (MOG) black hole (BH), characterized by the parameter $\alpha$. Using the Hamiltonian formalism, the geodesic equations and the effective…

General Relativity and Quantum Cosmology · Physics 2025-01-20 Oreeda Shabbir , Mubasher Jamil , Mustapha Azreg-Aïnou

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We present a preliminary study of the multipolar structure of gravitational radiation from spinning black hole binary mergers. We consider three different spinning binary configurations: (1) one "hang-up" run, where the black holes have…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Berti , V. Cardoso , J. A. Gonzalez , U. Sperhake , B. Bruegmann

The dynamics of a test particle in a non-spinning binary black hole system of equal masses is numerically investigated. The binary system is modeled in the context of the pseudo-Newtonian circular restricted three-body problem, such that…

Astrophysics of Galaxies · Physics 2018-08-02 Euaggelos E. Zotos , Fredy L. Dubeibe , Guillermo A. González
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