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A remarkable series of breakthroughs in numerical relativity modeling of black hole binary mergers has occurred over the past few years. This paper provides a general overview of these exciting developments, focusing on recent progress in…

Astrophysics · Physics 2009-11-11 Joan M. Centrella

We compute the gravitational waveform emitted during the transition from quasi-spherical inspiral to plunge, merger and ringdown for a system of two black holes in the extreme mass ratio limit, where the primary is spinning and the…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Luca Nagni , Alessandro Nagar , Rossella Gamba , Simone Albanesi , Sebastiano Bernuzzi

We present single and binary black hole simulations that follow the moving puncture paradigm of simulating black-hole spacetimes without excision, and use moving boxes mesh refinement. Focussing on binary black hole configurations where the…

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

We present the first results in a new program intended to make the best use of all available technologies to provide an effective understanding of waves from inspiralling black hole binaries in time for imminent observations. In particular,…

General Relativity and Quantum Cosmology · Physics 2010-04-06 J. Baker , B. Bruegmann , M. Campanelli , C. O. Lousto

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 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

Numerical relativity codes now being developed will evolve initial data representing colliding black holes at a relatively late stage in the collision. The choice of initial data used for code development has been made on the basis of…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Carlos O. Lousto , Richard H. Price

We present new techniqes for evolving binary black hole systems which allow the accurate determination of gravitational waveforms directly from the wave zone region of the numerical simulations. Rather than excising the black hole…

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

We present preliminary results from self-consistent, high resolution direct {\it N}-body simulations of massive black hole binaries in mergers of galactic nuclei. The dynamics of the black hole binary includes the full Post-Newtonian…

Astrophysics · Physics 2011-07-19 Miguel Preto , Ingo Berentzen , Peter Berczik , David Merritt , Rainer Spurzem

Reducing orbital eccentricity in numerical relativity simulations of binary black holes is essential for producing astrophysically relevant gravitational wave models, as many of these systems are expected to be near-circular in nature.…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Vittoria Tommasini , Nils L. Vu , Mark A. Scheel , Saul A. Teukolsky

Detecting binary black holes in interferometer data requires an accurate knowledge of the orbital phase evolution of the system. From the point of view of data analysis one also needs fast algorithms to compute the templates that will…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. Damour , B. R. Iyer , B. S. Sathyaprakash

We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kenneth A. Dennison , Thomas W. Baumgarte , Harald P. Pfeiffer

We perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

Recent progress in numerical relativity now allows computation of the binary black hole merger, whereas post-Newtonian and perturbative techniques can be used to model the inspiral and ringdown phases. So far, most gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2009-06-10 Lucia Santamaria , Badri Krishnan , John T. Whelan

I briefly outline the state-paradigm that has emerged from the study of black-hole binaries with RossiXTE. This is the starting point of a number of studies that address the connection between accretion and jet ejection and the physical…

High Energy Astrophysical Phenomena · Physics 2015-05-14 Tomaso M. Belloni

We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

Non-continuous "jumps" of Apparent Horizons occur generically in 3+1 (binary) black hole evolutions. The dynamical trapping horizon framework suggests a spacetime picture in which these "Apparent Horizon jumps" are understood as spatial…

General Relativity and Quantum Cosmology · Physics 2011-04-05 José Luis Jaramillo , Marcus Ansorg , Nicolas Vasset

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 first directly detected gravitational waves (GW 150914) were emitted by two coalescing black holes (BHs) with masses of ~36Msun and ~29Msun. Several scenarios have been proposed to put this detection into an astrophysical context. The…

Solar and Stellar Astrophysics · Physics 2018-01-24 R. Hainich , L. M. Oskinova , T. Shenar , P. Marchant , J. J. Eldridge , A. A. C. Sander , W. -R. Hamann , N. Langer , H. Todt

We describe a grid generation procedure designed to construct new classes of orthogonal coordinate systems for binary black hole spacetimes. The computed coordinates offer an alternative approach to current methods, in addition to providing…

General Relativity and Quantum Cosmology · Physics 2009-10-30 P. Anninos , S. R. Brandt , P. Walker
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