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For arbitrary static space-times, it is shown that an equilibrium between a Killing horizon and matter is only possible for some discrete values of the parameter $w = p_1/\rho$, where $\rho$ is the density and $p_1$ is pressure in the…

General Relativity and Quantum Cosmology · Physics 2010-04-14 K. A. Bronnikov , O. B. Zaslavskii

We consider Kerr spacetimes with parameters a and M such that |a|<< M, Kerr-Newman spacetimes with parameters |Q|<< M, |a|<< M, and more generally, stationary axisymmetric black hole exterior spacetimes which are sufficiently close to a…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos , Igor Rodnianski

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

Two particles can collide in the vicinity of a rotating black hole producing the divergent energy in the centre of mass frame (the BSW effect). However, it was shown recently that an observer at infinity can register quite modest energies E…

General Relativity and Quantum Cosmology · Physics 2015-06-05 O. B. Zaslavskii

We numerically investigate the formation of D-dimensional black holes in high-energy particle collision with the impact parameter and evaluate the total cross section of the black hole production. We find that the formation of an apparent…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hirotaka Yoshino , Yasusada Nambu

It has been shown that extremal Kerr black holes can be used as particle accelerators and arbitrarily high energy may be obtained near the event horizon. We study particle collisions near the event horizon (outer horizon) and Cauchy horizon…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Sijie Gao , Changchun Zhong

In a collision of strongly coupled quantum matter we find that the dynamics of the collision produces regions where a local rest frame cannot be defined because the energy-momentum tensor does not have a real time-like eigenvector. This…

High Energy Physics - Theory · Physics 2014-10-22 Peter Arnold , Paul Romatschke , Wilke van der Schee

We consider the behavior of the analogue of the Lemaitre time when a particle approaches the horizon of a rotating black hole. For the Kerr metric, the aforementioned time coincides with the Doran or Natario time but we consider a more…

General Relativity and Quantum Cosmology · Physics 2025-09-17 A. V. Toporensky , O. B. Zaslavskii

It has recently been pointed out that particles falling freely from rest at infinity outside a Kerr black hole can in principle collide with arbitrarily high center of mass energy in the limiting case of maximal black hole spin. Here we aim…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Ted Jacobson , Thomas P. Sotiriou

We investigate the radial part of the charged massive Klein-Gordon equation in Kerr-Newman spacetime, and in several specific situations, obtain exact solutions by means of essentially hypergeometric functions or their confluent types.…

General Relativity and Quantum Cosmology · Physics 2017-07-20 Hikaru Yumisaki

We generalize here our earlier results on particle acceleration by naked singularities. We showed recently[1] that the naked singularities that form due to gravitational collapse of massive stars provide a suitable environment where…

General Relativity and Quantum Cosmology · Physics 2011-03-22 Mandar Patil , Pankaj S. Joshi , Daniele Malafarina

We first study the escape probability of the spinning particle emitted from the Kerr black hole and find that the escape probability increases with the spin of the particle around the extreme Kerr black hole; in contrast, the escape…

General Relativity and Quantum Cosmology · Physics 2020-08-14 Ming Zhang , Jie Jiang

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

In this research paper, we scrutinize the center of mass energy of the collision for three neutral particles with different rest masses falling freely from rest at infinity in the vicinity of a Kerr-Modified-Gravity black hole. In addition,…

High Energy Physics - Theory · Physics 2023-08-08 Ayesha Zakria

The particle dynamics and the electric Penrose process for the five-dimensional weakly charged Schwarzschild black hole are studied. Firstly, the horizon structure and the effective potential for the test particle are explored. The radial…

General Relativity and Quantum Cosmology · Physics 2025-03-05 Tursunali Xamidov , Mirzabek Alloqulov , Sanjar Shaymatov

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 compute gravitational radiation waveforms, spectra and energies for a point particle of mass $m_0$ falling from rest at radius $r_0$ into a Schwarzschild hole of mass $M$. This radiation is found to lowest order in $(m_0/M)$ with the use…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carlos O. Lousto , Richard H. Price

We study collision of particles in the vicinity of a horizon of a weakly magnetized non-rotating black hole. In the presence of the magnetic field innermost stable circular orbits (ISCO) of charged particles can be located close to the…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Valeri P. Frolov

We examine the propagation of collisionless particles emitted from a spherical shell to infinity. The number distribution at infinity, calculated as a function of the polar angle, exhibits a small deviation from uniformity. The number of…

General Relativity and Quantum Cosmology · Physics 2009-05-20 Kentaro Takami , Yasufumi Kojima

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
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