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We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

Binary black holes emit gravitational radiation with net linear momentum leading to a retreat of the final remnant black hole that can reach up to $\sim5,000$ km/s. Full numerical relativity simulations are the only tool to accurately…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Carlos O. Lousto , James Healy

We construct the covariantly defined multipole moments on the common horizon of an equal-mass, non-spinning, quasicircular binary-black-hole system. We see a strong correlation between these multipole moments and the gravitational waveform.…

The first objective of this work is to obtain practical prescriptions to calculate the absorption of mass and angular momentum by a black hole when external processes produce gravitational radiation. These prescriptions are formulated in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Eric Poisson

Using the worldline quantum field theory approach we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order these trajectories are obtained in the time…

High Energy Physics - Theory · Physics 2026-02-27 Gustav Mogull , Jan Plefka , Kathrin Stoldt

We present a comprehensive numerical study of the dynamics of relativistic axisymmetric accretion tori with a power-law distribution of specific angular momentum orbiting in the background spacetime of a Kerr black hole. By combining…

Astrophysics · Physics 2009-11-10 O. Zanotti , J. A. Font , L. Rezzolla , P. J. Montero

Black holes can be practically located (e.g. in numerical simulations) by trapping horizons, hypersurfaces foliated by marginal surfaces, and one desires physically sound measures of their mass and angular momentum. A generically unique…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

Modelling of gravitational waves from binary black hole inspiral has played an important role in the recent observations of such signals. The late-stage ringdown phase of the gravitational waveform is often associated with the null particle…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Gaurav Khanna , Richard H. Price

The first direct detections of gravitational waves from merging binary black holes open a unique window into the binary black hole formation environment. One promising environmental signature is the angular distribution of the black hole…

High Energy Astrophysical Phenomena · Physics 2017-09-06 Will M. Farr , Simon Stevenson , M. Coleman Miller , Ilya Mandel , Ben Farr , Alberto Vecchio

In this paper, we consider angular momentum fluctuations of a Schwartzschild black hole in thermal equilibrium with radiation which, for the sake of simplicity is here modeled by a scalar field. Important, we do not set the black hole…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Marcelo Schiffer

Recent astrophysical models predict that stellar-mass binary black holes (BBHs) could form and coalesce within a few gravitational radii of a supermassive black hole (SMBH). Detecting the gravitational waves (GWs) from such systems requires…

High Energy Astrophysical Phenomena · Physics 2024-02-06 Zhongfu Zhang , Xian Chen

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

Binary black hole spin measurements from gravitational wave observations can reveal the binary's evolutionary history. In particular, the spin orientations of the component black holes within the orbital plane, $\phi_1$ and $\phi_2$, can be…

High Energy Astrophysical Phenomena · Physics 2022-01-20 Vijay Varma , Sylvia Biscoveanu , Maximiliano Isi , Will M. Farr , Salvatore Vitale

We compute the emission of linear momentum (kicks) by both gravitational and electromagnetic radiation in fully general-relativistic numerical evolutions of quasi-circular charged black hole binaries. We derive analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Raimon Luna , Gabriele Bozzola , Vitor Cardoso , Vasileios Paschalidis , Miguel Zilhão

A simple estimate is given of gravitational wave memory for the inspiral and merger of a binary black hole system. Here the memory is proportional to the total energy radiated and has a simple angular dependence. This estimate might be…

General Relativity and Quantum Cosmology · Physics 2016-08-17 David Garfinkle

Angular momentum transport in high-mass stars is commonly modeled by extrapolating the behavior of better-observed low-mass stars. According to the conventional picture, the cores of most black hole progenitors lose almost all of their…

High Energy Astrophysical Phenomena · Physics 2025-12-02 Christian Adamcewicz , Nir Guttman , Paul D. Lasky , Eric Thrane

Binary black holes with spins that are aligned with the orbital angular momentum do not precess. However, post-Newtonian calculations predict that "up-down" binaries, in which the spin of the heavier (lighter) black hole is aligned…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Vijay Varma , Matthew Mould , Davide Gerosa , Mark A. Scheel , Lawrence E. Kidder , Harald P. Pfeiffer

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

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

Binary black-hole coalescence is treated semi-analytically by a novel approach. Our prescription employs the conservative Skeleton Hamiltonian that describes orbiting Brill-Lindquist wormholes (termed punctures in Numerical Relativity)…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Achamveedu Gopakumar , Gerhard Schaefer