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Ultrarelativistic collisions of black holes are ideal gedanken experiments to study the nonlinearities of general relativity. In this paper we use semianalytical tools to better understand the nature of these collisions and the emitted…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Emanuele Berti , Vitor Cardoso , Tanja Hinderer , Madalena Lemos , Frans Pretorius , Ulrich Sperhake , Nicolas Yunes

The nonlinear behavior of higher dimensional black hole spacetimes is of interest in several contexts, ranging from an understanding of cosmic censorship to black hole production in high-energy collisions. However, nonlinear numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-15 Helvi Witek , Hirotada Okawa , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Masaru Shibata , Ulrich Sperhake , Miguel Zilhao

We present a semi-analytical approach to the interaction of two (originally) Kerr black holes through a head-on collision process. An expression for the rate of emission of gravitational radiation is derived from an exact solution to the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Marcelo E. Araujo , Patricio S. Letelier , Samuel R. Oliveira

We continue our series of studies of high-energy collisions of black holes investigating unequal-mass, boosted head-on collisions in four dimensions. We show that the fraction of the center-of-mass energy radiated as gravitational waves…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Ulrich Sperhake , Emanuele Berti , Vitor Cardoso , Frans Pretorius

We study the superradiant scattering of gravitational waves by a nearly extremal black hole (dimensionless spin $a=0.99$) by numerically solving the full Einstein field equations, thus including backreaction effects. This allows us to study…

General Relativity and Quantum Cosmology · Physics 2014-03-26 William E. East , Fethi M. Ramazanoğlu , Frans Pretorius

We study head-on collisions of unequal mass black hole binaries in D=5 space-time dimensions, with mass ratios between 1:1 and 1:4. Information about gravitational radiation is extracted by using the Kodama-Ishibashi gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2011-02-16 Helvi Witek , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Ulrich Sperhake , Miguel Zilhao

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 investigate the spin interaction and the gravitational radiation thermally allowed in a head-on collision of two rotating Hayward black holes. The Hayward black hole is a regular black hole in a modified Einstein equation, and hence it…

General Relativity and Quantum Cosmology · Physics 2017-07-24 Bogeun Gwak

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

Using approximate techniques we study the final moments of the collision of two (individually non-spinnning) black holes which inspiral into each other. The approximation is based on treating the whole space-time as a single distorted black…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Reinaldo Gleiser , Gaurav Khanna , Richard Price , Jorge Pullin

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

In this paper we consider the collision of spinning holes using first order perturbation theory of black holes (Teukolsky formalism). With these results (along with ones, we published in the past) one can predict the properties of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna

We investigate the possible total radiated energy produced by a binary black hole system containing non-vanishing total angular momentum. For the scenearios considered we find that the total radiated energy does not exceed 1%. Additionally…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Osvaldo Moreschi , Alejandro Perez , Luis Lehner

We present the first simulations of non-headon (grazing) collisions of binary black holes in which the black hole singularities have been excised from the computational domain. Initially two equal mass black holes $m$ are separated a…

We explore the impact of black hole spins on the dynamics of high-energy black hole collisions. We report results from numerical simulations with gamma-factors up to 2.49 and dimensionless spin parameter +0.85, +0.6, 0, -0.6, -0.85. We find…

General Relativity and Quantum Cosmology · Physics 2013-11-13 Ulrich Sperhake , Emanuele Berti , Vitor Cardoso , Frans Pretorius

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 consider point particles with arbitrary energy per unit mass E that fall radially into a higher-dimensional, nonrotating, asymptotically flat black hole. We compute the energy and linear momentum radiated in this process as functions of…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Emanuele Berti , Vitor Cardoso , Barnabas Kipapa

We consider collision of two geodesic particles near the horizon of such an axially symmetric black hole (rotating or static) that the metric coefficient $g_{\phi \phi }\rightarrow 0$ there. It is shown that (both for regular and singular…

General Relativity and Quantum Cosmology · Physics 2016-09-07 O. B. Zaslavskii

The close-limit method has given approximations in excellent agreement with those of numerical relativity for collisions of equal mass black holes. We consider here colliding holes with unequal mass, for which numerical relativity results…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Zeferino Andrade , Richard Price

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