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We evaluate how much energy can be converted into gravitational radiation in head-on collision of black holes. We estimate it by the area theorem of black hole horizon incorporating merging entropy of colliding black holes from a viewpoint…

General Relativity and Quantum Cosmology · Physics 2013-04-24 Masaru Siino

We study the head-on collision of two equal-mass momentarily stationary black holes, using black hole perturbation theory up to second order. Compared to first-order results, this significantly improves agreement with numerically computed…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

We use a 3-D relativistic SPH (Smoothed Particle Hydrodynamics) code to study mergers of black hole -- neutron star (BH--NS) binary systems with low mass ratios, adopting $M_{NS}/M_{BH} \simeq 0.1$ as a representative case. The outcome of…

Astrophysics · Physics 2009-11-13 Emmanouela Rantsiou , Shiho Kobayashi , Pablo Laguna , Frederic Rasio

We investigate the dynamics and gravitational-wave (GW) emission in the binary merger of equal-mass black holes as obtained from numerical relativity simulations. Results from the evolution of three sets of initial data are explored in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandra Buonanno , Gregory B. Cook , Frans Pretorius

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

During the post-merger regime of a binary black hole merger, the gravitational wave signal consists of a superposition of quasi-normal modes (QNMs) of the remnant black hole. It has been observed empirically, primarily through numerical…

General Relativity and Quantum Cosmology · Physics 2025-01-22 A. Ribes Metidieri , B. Bonga , B. Krishnan

We study the head-on collision of two equal mass, nonrotating black holes. We consider a range of cases from holes surrounded by a common horizon to holes initially separated by about $20M$, where $M$ is the mass of each hole. We determine…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Peter Anninos , David Hobill , Edward Seidel , Larry Smarr , Wai-Mo Suen

The waveforms from binary black hole mergers include inspiral, merger, and ringdown parts. Usually, the inspiral waveform can be obtained by calibrating from post-Newtonian approximation; The merger and ringdown ones can be gotten from the…

General Relativity and Quantum Cosmology · Physics 2022-11-15 Song Li , Wen-Biao Han

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

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

We study the head-on collision of black holes starting from unsymmetrized, Brill--Lindquist type data for black holes with non-vanishing initial linear momentum. Evolution of the initial data is carried out with the ``close limit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Reinaldo Gleiser , Oscar Nicasio , Richard Price , Jorge Pullin

We study the head-on collision of two equal mass, nonrotating black holes. Various initial configurations are investigated, including holes which are initially surrounded by a common apparent horizon to holes that are separated by about…

General Relativity and Quantum Cosmology · Physics 2009-10-22 David Hobill , Edward Seidel , Larry Smarr , Wai-Mo Suen

The recent birth of gravitational wave astronomy invites a new generation of precision tests of general relativity. Signatures of black hole (BH) mergers must be systematically explored in a wide spectrum of modified gravity theories. Here,…

General Relativity and Quantum Cosmology · Physics 2017-09-01 Puttarak Jai-akson , Auttakit Chatrabhuti , Oleg Evnin , Luis Lehner

Spherical harmonic modes of gravitational waveforms for inspiraling compact binaries in eccentric orbits from post-Newtonian (PN) theory accurate to third post-Newtonian order, and those extracted from numerical relativity (NR) simulations…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Abhishek Chattaraj , Tamal RoyChowdhury , Divyajyoti , Chandra Kant Mishra , Anshu Gupta

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

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

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-06 Alexandre Le Tiec

The understanding of strong-field dynamics near black-hole horizons is a long-standing and challenging prob- lem in general relativity. Recent advances in numerical relativity and in the geometric characterization of black- hole horizons…

General Relativity and Quantum Cosmology · Physics 2012-05-08 José Luis Jaramillo , Rodrigo P. Macedo , Philipp Moesta , Luciano Rezzolla

The evolution of the event horizon when two black holes merge can be determined by resorting to ray-tracing techniques on a single black hole spacetime, under the assumption that the binary's mass ratio is infinite and the underlying…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Antonia M. Frassino , David C. Lopes , Jorge V. Rocha

A black hole binary approaching merger undergoes changes in its inspiral rate as energy and angular momentum are lost from the orbits into the horizons. This effect strengthens as the black holes come closer. We use numerical relativity…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Samanwaya Mukherjee , Sayak Datta , Sukanta Bose , Khun Sang Phukon