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Numerical relativity is an essential tool in studying the coalescence of binary black holes (BBHs). It is still computationally prohibitive to cover the BBH parameter space exhaustively, making phenomenological fitting formulas for BBH…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Xisco Jiménez-Forteza , David Keitel , Sascha Husa , Mark Hannam , Sebastian Khan , Michael Pürrer

The asymptotic approach derived by Kozameh-Quiroga (K-Q) provides a modern framework to obtain the evolution of global variables of isolated sources of gravitational radiation. We test the K-Q formalism evolving the equations of motion for…

General Relativity and Quantum Cosmology · Physics 2021-10-15 Emmanuel A. Tassone , Paula A. Mandrilli , Carlos N. Kozameh , Gonzalo D. Quiroga , José I. Nieva

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

The spin of the final black hole in the coalescence of nonspinning black holes is determined by the ``residual'' orbital angular momentum of the binary. This residual momentum consists of the orbital angular momentum that the binary is not…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. C. Washik , J. Healy , F. Herrmann , I. Hinder , D. M. Shoemaker , P. Laguna , R. A. Matzner

The behavior of merging black holes (including the emitted gravitational waves and the properties of the remnant) can currently be computed only by numerical simulations. This paper introduces ten numerical relativity simulations of binary…

We review recent progress in numerical relativity simulations of black-hole (BH) spacetimes. Following a brief summary of the methods employed in the modeling, we summarize the key results in three major areas of BH physics: (i) BHs as…

General Relativity and Quantum Cosmology · Physics 2017-03-22 Ulrich Sperhake , Emanuele Berti , Vitor Cardoso

We introduce a gravitational waveform inversion strategy that discovers mechanical models of binary black hole (BBH) systems. We show that only a single time series of (possibly noisy) waveform data is necessary to construct the equations…

General Relativity and Quantum Cosmology · Physics 2021-11-10 Brendan Keith , Akshay Khadse , Scott E. Field

We revisit the modeling of the properties of the remnant black hole resulting the merger of a black-hole binary as a function of the parameters of the binary. We provide a set of empirical formulas for the final mass, spin and recoil…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Yosef Zlochower , Carlos O. Lousto

Over the last few years enormous progress has been made in the numerical description of the inspiral and merger of binary black holes. A particular effort has gone into the modelling of the physical properties of the final black hole,…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Luciano Rezzolla

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

We describe early success in the evolution of binary black hole spacetimes with a numerical code based on a generalization of harmonic coordinates. Indications are that with sufficient resolution this scheme is capable of evolving binary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Frans Pretorius

In this work we study the dynamics of spinning binary black hole systems in the strong field regime. For this purpose we extract from numerical relativity simulations the binding energy, specific orbital angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Serguei Ossokine , Tim Dietrich , Evan Foley , Reza Katebi , Geoffrey Lovelace

We derive an analytic phenomenological expression that predicts the final mass of the black-hole remnant resulting from the merger of a generic binary system of black holes on quasi-circular orbits. Besides recovering the correct…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Enrico Barausse , Viktoriya Morozova , Luciano Rezzolla

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

In numerical evolutions of binary black holes (BBH) it is desirable to easily control the orbital eccentricity of the BBH, and the number of orbits completed by the binary through merger. This paper presents fitting formulae that allow to…

General Relativity and Quantum Cosmology · Physics 2012-10-11 Abdul H. Mroué , Harald P. Pfeiffer

Determining the final spin of a black-hole (BH) binary is a question of key importance in astrophysics. Modelling this quantity in general is made difficult by the fact that it depends on the 7-dimensional space of parameters characterizing…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Luciano Rezzolla , Peter Diener , Ernst Nils Dorband , Denis Pollney , Christian Reisswig , Erik Schnetter , Jennifer Seiler

We perform the first fully nonlinear numerical simulations of black-hole binaries with mass ratios 100:1. Our technique for evolving such extreme mass ratios is based on the moving puncture approach with a new gauge condition and an optimal…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Carlos O. Lousto , Yosef Zlochower

We obtain empirical formulae for the final remnant black hole mass, spin, and recoil velocity from merging black-hole binaries with arbitrary mass ratios and spins. Our formulae are based on the mass ratio and spin dependence of the…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Carlos O. Lousto , Manuela Campanelli , Yosef Zlochower , Hiroyuki Nakano

We discuss a new N-body simulation method for studying black hole binary dynamics. This method avoids previous numerical problems due to large mass ratios and trapped orbits with short periods. A treatment of relativistic effects is…

Astrophysics · Physics 2009-11-07 Sverre J Aarseth

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
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