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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

We use null hypersurface techniques in a new approach to calculate the retarded waveform from a binary black hole merger in the close approximation. The process of removing ingoing radiation from the system leads to two notable features in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sascha Husa , Yosef Zlochower , Roberto Gomez , Jeffrey Winicour

Black-hole-binary coalescence is often divided into three stages: inspiral, merger and ringdown. The post-Newtonian (PN) approximation treats the inspiral phase, black-hole perturbation (BHP) theory describes the ringdown, and the nonlinear…

General Relativity and Quantum Cosmology · Physics 2010-12-13 David A. Nichols , Yanbei Chen

We consider general relativistic Cauchy data representing two nonspinning, equal-mass black holes boosted toward each other. When the black holes are close enough to each other and their momentum is sufficiently high, an encompassing…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Andrew M. Abrahams , Gregory B. Cook

We present results from the first fully nonlinear numerical calculations of the head--on collision of two unequal mass black holes. Selected waveforms of the most dominant l=2, 3 and 4 quasinormal modes are shown, as are the total radiated…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Peter Anninos , Steven Brandt

The ability to model the evolution of compact binaries from the inspiral to coalescence is central to gravitational wave astronomy. Current waveform catalogues are built from vacuum binary black hole models, by evolving Einstein equations…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Lorenzo Annulli , Vitor Cardoso , Leonardo Gualtieri

The head-on collision of two nonrotating axisymmetric equal mass black holes is treated numerically. We take as initial data the single parameter family of time-symmetric solutions discovered by Misner which consists of two Einstein-Rosen…

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

We consider the head-on collision of two opposite-charged point particles moving at the speed of light. Starting from the field of a single charge we derive in a first step the field generated by uniformly accelerated charge in the limit of…

General Relativity and Quantum Cosmology · Physics 2009-11-10 P. C. Aichelburg , H. Balasin

We study the radiation from a collision of black holes with equal and opposite linear momenta. Results are presented from a full numerical relativity treatment and are compared with the results from a ``close-slow'' approximation. The…

General Relativity and Quantum Cosmology · Physics 2009-10-28 John Baker , Andrew Abrahams , Peter Anninos , Steve Brandt , Richard Price , Jorge Pullin , Edward Seidel

We use fully nonlinear numerical relativity techniques to study high energy head-on collision of nonspinning, equal-mass black holes to estimate the maximum gravitational radiation emitted by these systems. Our simulations include…

General Relativity and Quantum Cosmology · Physics 2016-11-15 James Healy , Ian Ruchlin , Carlos O. Lousto , Yosef Zlochower

Black holes have sometimes been described as astrophysical particle accelerators because finite energy particles can collide near the horizon with divergent center-of-mass (CM) energy. The collisions are classified by the radial motion of…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Delilah E. A. Gates

We perform fully non-linear numerical simulations of charged-black-hole collisions, described by the Einstein-Maxwell equations, and contrast the results against analytic expectations. We focus on head-on collisions of non-spinning black…

General Relativity and Quantum Cosmology · Physics 2012-07-06 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

Black-hole perturbation theory is a useful tool to investigate issues in astrophysics, high-energy physics, and fundamental problems in gravity. It is often complementary to fully-fledged nonlinear evolutions and instrumental to interpret…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Paolo Pani

We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes.…

General Relativity and Quantum Cosmology · Physics 2025-08-26 Alex Kehagias , Davide Perrone , Antonio Riotto

The perturbation theory plays an important role in studying structure formation in cosmology and post-Newtonian physics, but not all phenomena can be described by the linear perturbation theory. Thus, It is necessary to study exact…

General Relativity and Quantum Cosmology · Physics 2018-07-17 Alireza Allahyari , Javad T. Firouzjaee , Reza Mansouri

We produce the first numerical relativity binary black hole gravitational waveforms in a higher-curvature theory beyond general relativity. In particular, we study head-on collisions of binary black holes in order-reduced dynamical…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Maria Okounkova , Leo C. Stein , Mark A. Scheel , Saul A. Teukolsky

The Misner initial value solution for two momentarily stationary black holes has been the focus of much numerical study. We report here analytic results for an astrophysically similar initial solution, that of Brill and Lindquist (BL).…

General Relativity and Quantum Cosmology · Physics 2009-10-28 A. M. Abrahams , R. H. Price

Higher-dimensional scenarios allow for the formation of mini-black holes from TeV-scale particle collisions. The purpose of this paper is to review and compare different methods for the estimate of the total gravitational energy emitted in…

High Energy Physics - Phenomenology · Physics 2011-01-31 Vitor Cardoso , Emanuele Berti , Marco Cavaglia

We report a degeneracy between the gravitational-wave signals from quasi-circular precessing black-hole mergers and those from extremely eccentric mergers, namely head-on collisions. Performing model selection on numerically simulated…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Juan Calderón Bustillo , Nicolas Sanchis-Gual , Alejandro Torres-Forné , José A. Font

Numerical relativity has seen incredible progress in the last years, and is being applied with success to a variety of physical phenomena, from gravitational-wave research and relativistic astrophysics to cosmology and high-energy physics.…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Ulrich Sperhake , Vitor Cardoso , Christian D. Ott , Erik Schnetter , Helvi Witek