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Black holes described by the Kerr metric can have a theoretical maximum dimensionless spin parameter of $a_\bullet = 1$, but several effects may limit the maximum spin parameter in astrophysical systems. We perform general relativistic…

High Energy Astrophysical Phenomena · Physics 2026-04-23 Tegan A. Thomas , Angelo Ricarte , Cora Prather , Hyerin Cho

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate…

In this paper we investigate the parabolic-hyperbolic formulation of the vacuum constraint equations introduced by R{\'a}cz with a view to constructing multiple black hole initial data sets without spin. In order to respect the natural…

General Relativity and Quantum Cosmology · Physics 2019-08-12 Florian Beyer , Leon Escobar , Jörg Frauendiener , Joshua Ritchie

This work consists of two distinct parts. In the first part we present a new method for solving the initial value problem of general relativity. Given any spatial metric with a surface orthogonal Killing field and two freely specified…

General Relativity and Quantum Cosmology · Physics 2009-10-31 John Baker , Raymond Stanley Puzio

We present a method for estimating the velocity of a wandering black hole and the equation of state for the gas around, based on a catalog of numerical simulations. The method uses machine learning methods based on convolutional neural…

High Energy Astrophysical Phenomena · Physics 2018-03-19 J. A. Gonzalez , F. S. Guzman

We solve the elliptic equations associated with the Hamiltonian and momentum constraints, corresponding to a system composed of two black holes with arbitrary linear and angular momentum. These new solutions are based on a Kerr-Schild…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pedro Marronetti , Richard A. Matzner

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

We present a semi-analytical binary black hole (BBH) metric approximation that models the entire evolution of the system from inspiral to merger. The metric is constructed as a boosted Kerr-Schild superposition following post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Luciano Combi , Sean M. Ressler

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

We prove the existence of a family of initial data for the Einstein vacuum equation which can be interpreted as the data for two Kerr-like black holes in arbitrary location and with spin in arbitrary direction. When the mass parameter of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio Dain

The full metric describing two counter-rotating identical Kerr black holes separated by a massless strut is derived in the explicit analytical form. It contains three arbitrary parameters which are the Komar mass M, Komar angular momentum…

General Relativity and Quantum Cosmology · Physics 2008-12-30 V. S. Manko , E. D. Rodchenko , E. Ruiz , B. I. Sadovnikov

Using high resolution hydrodynamical simulations, we explore the spin evolution of massive dual black holes orbiting inside a circumnuclear disc, relic of a gas-rich galaxy merger. The black holes spiral inwards from initially eccentric co…

High Energy Astrophysical Phenomena · Physics 2015-05-14 M. Dotti , M. Volonteri , A. Perego , M. Colpi , M. Ruszkowski , F. Haardt

Binary black holes are thought to form primarily via two channels: isolated evolution and dynamical formation. The component masses, spins, and eccentricity of a binary black hole system provide clues to its formation history. We focus on…

High Energy Astrophysical Phenomena · Physics 2020-01-08 Isobel M. Romero-Shaw , Paul D. Lasky , Eric Thrane

We study the evolution of a massive black hole pair in a rotationally supported nuclear disc. The distributions of stars and gas mimic the nuclear region of a gas-rich galaxy merger remnant. Using high-resolution SPH simulations, we follow…

Astrophysics · Physics 2008-07-24 M. Dotti , M. Colpi , F. Haardt , L. Mayer

We study the accretion flows from the circumbinary disks onto the supermassive binary black holes in a subparsec scale of the galactic center, using a smoothed particles hydrodynamics (SPH) code. Simulation models are presented in four…

Astrophysics · Physics 2015-06-24 Kimitake Hayasaki , Shin Mineshige , Hiroshi Sudou

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

By using the 't Hooft "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from the minimally coupled scalar fields which rotate with the azimuthal angular velocity…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jiliang Jing , Mu-Lin Yan

The production of numerical relativity waveforms that describe quasicircular binary black hole mergers requires high-quality initial data, and an algorithm to iteratively reduce residual eccentricity. To date, these tools remain closed…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Sarah Habib , Antoni Ramos-Buades , E. A. Huerta , Sascha Husa , Roland Haas , Zachariah Etienne

We present the first numerical simulations of an initially non-spinning black-hole binary with mass ratio as large as 10:1 in full general relativity. The binary completes approximately 3 orbits prior to merger and radiates about 0.415% of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

The purpose of this paper is to present a number of proposals about the interior structure of a rotating black hole that is accreting slowly, but in an arbitrary time- and space-dependent fashion. The proposals could potentially be tested…

General Relativity and Quantum Cosmology · Physics 2011-08-22 Andrew J. S. Hamilton