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Arguments for black hole formation in collisions of high-energy particles have rested on the emergence of a closed trapped surface in the classical geometry of two colliding Aichelburg-Sexl solutions. Recent analysis has, however, shown…

High Energy Physics - Theory · Physics 2009-11-10 Steven B. Giddings , Vyacheslav S. Rychkov

We study the ultrarelativistic head-on collision of equal mass particles, modeled as self-gravitating fluid spheres, by numerically solving the coupled Einstein-hydrodynamic equations. We focus on cases well within the kinetic energy…

General Relativity and Quantum Cosmology · Physics 2013-03-08 William E. East , Frans Pretorius

We study collisions of many point-like particles in three-dimensional anti-de Sitter space, generalizing the known result with two particles. We show how to construct exact solutions corresponding to the formation of either a black hole or…

General Relativity and Quantum Cosmology · Physics 2016-11-24 E. J. Lindgren

Initial data for the spherically symmetric Einstein-Vlasov system is constructed whose past evolution is regular and whose future evolution contains a black hole. This is the first example of initial data with these properties for the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Håkan Andréasson

From the duality between the interaction region of colliding waves and black holes (BHs) it is known that certain BH solutions can be obtained from colliding gravity coupled electromagnetic (em) waves. In the limit of vanishing gravity…

General Relativity and Quantum Cosmology · Physics 2025-07-04 M. Halilsoy , V. Memari

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 holes, first found as solutions of Einstein's General Relativity, are important in astrophysics, since they result from the gravitational collapse of a massive star or a cluster of stars, and in physics since they reveal properties of…

High Energy Physics - Theory · Physics 2007-05-23 Oscar J. C. Dias

In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured that black holes occur in the collision of two light particles at planckian energies. In this paper we discuss a possible scenario for such a process by using the…

High Energy Physics - Theory · Physics 2010-11-01 I. Ya. Aref'eva , K. S. Viswanathan , I. V. Volovich

We elucidate how black holes form in trans-Planckian collisions. In the rest frame of one of the incident particles, the gravitational field of the other, which is rapidly moving, looks like a gravitational shock wave. The shock wave…

High Energy Physics - Theory · Physics 2014-11-18 Nemanja Kaloper , John Terning

Realistic black hole collisions result in a rapidly rotating Kerr hole, but simulations to date have focused on nonrotating final holes. Using a new solution of the Einstein initial value equations we present here waveforms and radiation…

General Relativity and Quantum Cosmology · Physics 2010-11-19 W. Krivan , R. H. Price

We numerically investigate the dynamics near black hole formation of solutions to the Einstein--Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the $(2+1)+1$ formulation of…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Ellery Ames , Håkan Andréasson , Oliver Rinne

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

It was believed that when gravitational, electromagnetic and scalar waves interact, a spacelike curvature singularity or Cauchy horizon develops because of mutual focusing. We show with an exact solution that the collision of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Mustafa Halilsoy

The first fully non-linear numerical simulations of colliding charged black holes in D=4 Einstein-Maxwell theory were recently reported arXiv:1205.1063. These collisions were performed for black holes with equal charge-to-mass ratio, for…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Miguel Zilhão , Vitor Cardoso , Carlos Herdeiro , Luis Lehner , Ulrich Sperhake

Kerr-Schild solutions of the Einstein-Maxwell field equations, containing semi-infinite axial singular lines, are investigated. It is shown that axial singularities break up the black hole, forming holes in the horizon. As a result, a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

According to the theory of general relativity, the relative acceleration of masses generates gravitational radiation. Although gravitational radiation has not yet been detected, it is believed that extremely violent cosmic events, such as…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Douglas N. Arnold , Arup Mukherjee , Luc Pouly

We investigate classical formation of a D-dimensional black hole in a high energy collision of two particles. The existence of an apparent horizon is related to the solution of an unusual boundary-value problem for Poisson's equation in…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Douglas M. Eardley , Steven B. Giddings

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

We derive and critically examine the consequences that follow from the formation of a regular black or white hole horizon in finite time of a distant observer. In spherical symmetry, only two distinct classes of solutions to the…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Sebastian Murk , Daniel R. Terno

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East
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