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The orbital motion of inspiralling and coalescing black hole binaries can be investigated using a variety of approximation schemes and numerical methods within general relativity: post-Newtonian expansions, black hole perturbation theory,…

General Relativity and Quantum Cosmology · Physics 2011-10-03 Alexandre Le Tiec

When a stellar binary encounters a spinning black hole, interesting phenomena might result due to the mutual interaction between the binary spin, orbital angular momentum and the black hole spin. Here we consider such encounters between an…

High Energy Astrophysical Phenomena · Physics 2026-01-09 Aryabrat Mahapatra , Adarsh Pandey , Pritam Banerjee , Tapobrata Sarkar

Recent studies of accretion onto supermassive black hole binaries suggest that much, perhaps most, of the matter eventually accretes onto one hole or the other. If so, then for binaries whose inspiral from ~1 pc to 0.001 - 0.01 pc is driven…

High Energy Astrophysical Phenomena · Physics 2015-06-16 M. Coleman Miller , Julian H. Krolik

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

General relativity (GR) predicts the existence of black hole (BH). The rotating BH called as a Kerr Black hole and GR implies that there is an upper limit on the angular momentum per mass squared of black holes $\leq 1$, above which the…

General Relativity and Quantum Cosmology · Physics 2024-05-24 Sumit Panganti , Siba Prasad Das

We present the first exact and analytical solution in General Relativity describing an equilibrium configuration for two stationary black holes. The metric models two collinear extremal Kerr black holes immersed in an external and…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Marco Astorino , Matilde Torresan

We consider the quasi-black hole limit of a stationary body when its boundary approaches its own gravitational radius, i.e., its quasi-horizon. It is shown that there exists a perfect correspondence between the different mass contributions…

General Relativity and Quantum Cosmology · Physics 2009-09-02 José P. S. Lemos , Oleg B. Zaslavskii

Zoom-whirl behavior has the reputation of being a rare phenomenon. The concern has been that gravitational radiation would drain angular momentum so rapidly that generic orbits would circularize before zoom-whirl behavior could play out,…

General Relativity and Quantum Cosmology · Physics 2009-10-29 James Healy , Janna Levin , Deirdre Shoemaker

We present a straightforward approach for estimating the final black hole spin of a binary black hole coalescence with arbitrary initial masses and spins. Making some simple assumptions, we estimate the final angular momentum to be the sum…

Astrophysics · Physics 2008-12-18 Alessandra Buonanno , Lawrence E. Kidder , Luis Lehner

Spectacular breakthroughs in numerical relativity now make it possible to compute spacetime dynamics in almost complete generality, allowing us to model the coalescence and merger of binary black holes with essentially no approximations.…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Pranesh A. Sundararajan , Gaurav Khanna , Scott A. Hughes

Binary-black-hole dynamics cannot be related to the resulting gravitational-wave signal by a constant retarded time. This is due to the non-trivial dynamical spacetime curvature between the source and the signal. In a numerical-relativity…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Eleanor Hamilton , Mark Hannam

We consider the motion of nonspinning, compact objects orbiting around a Kerr black hole with tidal couplings. The tide-induced quadrupole moment modifies both the orbital energy and outgoing fluxes, so that over the inspiral timescale…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Xuefeng Feng , Zhenwei Lyu , Huan Yang

We obtain approximate analytic expressions for the critical value of the total angular momentum of a non-relativistic test particle moving in the Kerr geometry, such that it will be captured by the black hole. The expressions apply to…

Astrophysics of Galaxies · Physics 2012-10-25 Clifford M. Will

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

We compute the flux of linear momentum carried by gravitational waves emitted from spinning binary black holes at 2PN order for generic orbits. In particular we provide explicit expressions of three new types of terms, namely…

General Relativity and Quantum Cosmology · Physics 2009-10-27 Etienne Racine , Alessandra Buonanno , Lawrence E. Kidder

High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m^2=0.43757 \pm…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Tony Chu , Harald P. Pfeiffer , Mark A. Scheel

We study dynamics and radiation generation in the last few orbits and merger of a binary black hole system, applying recently developed techniques for simulations of moving black holes. Our analysis of the gravitational radiation waveforms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 John G. Baker , Joan Centrella , Dae-Il Choi , Michael Koppitz , James van Meter

A brief overview is presented of a new Caltech/Cornell research program that is exploring the nonlinear dynamics of curved spacetime in binary black hole collisions and mergers, and of an initial project in this program aimed at elucidating…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Drew Keppel , David A. Nichols , Yanbei Chen , Kip S. Thorne

We revisit the problem of predicting the spin magnitude and direction of the black hole resulting from the merger of two black holes with arbitrary masses and spins inspiralling in quasi-circular orbits. We do this by analyzing a catalog of…

General Relativity and Quantum Cosmology · Physics 2016-07-13 Fabian Hofmann , Enrico Barausse , Luciano Rezzolla

Research on extracting science from binary-black-hole (BBH) simulations has often adopted a "scattering matrix" perspective: given the binary's initial parameters, what are the final hole's parameters and the emitted gravitational waveform?…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Geoffrey Lovelace , Yanbei Chen , Michael Cohen , Jeffrey D. Kaplan , Drew Keppel , Keith D. Matthews , David A. Nichols , Mark A. Scheel , Ulrich Sperhake