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We give a complete analytical proof of existence and uniqueness of extreme-like black hole initial data for Einstein equations, which possess a cilindrical end, analogous to extreme Kerr, extreme Reissner Nordstrom, and extreme Bowen-York's…

General Relativity and Quantum Cosmology · Physics 2012-08-17 María E. Gabach Clement

In this paper we study a new family of black hole initial data sets corresponding to distorted ``Kerr'' black holes with moderate rotation parameters, and distorted Schwarzschild black holes with even- and odd-parity radiation. These data…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Steven R. Brandt , Edward Seidel

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 obtain remarkably simple integral bounds for axially symmetric linear perturbations for the extreme Kerr black hole in terms of conserved energies. From these estimates we deduce pointwise bounds for the perturbations outside the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Sergio Dain , Ivan Gentile de Austria

Stellar-mass black holes offer what is perhaps the best scenario to test theories of gravity in the strong-field regime. In particular, f(R) theories, which have been widely discuss in a cosmological context, can be constrained through…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-13 Daniela Pérez , Gustavo E. Romero , Santiago E. Perez Bergliaffa

A Kerr black hole with mass $M$ and angular momentum $J$ satisfies the extremality inequality $|J| \le M^2$. In the presence of matter and/or gravitational radiation, this bound needs to be reformulated in terms of local measurements of the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Tanja Bode , Pablo Laguna , Richard A. Matzner

Measurements of the mass or angular momentum of a black hole are onerous, particularly if they have to be frequently repeated, as when one is required to transform a black hole to prescribed parameters. Irradiating a black hole of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

Near extremal Kerr black holes are subject to the Thorne limit $a<a^*_{\rm lim}=0.998$ in the case of thin disc accretion, or some generalized version of this in other disc geometries. However any limit that differs from the thermodynamics…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-13 Alexandre Arbey , Jérémy Auffinger , Joseph Silk

We analytically solve the constraints in General Relativity for two black holes with arbitrary momenta and spin up to third order in these parameters. We compute the location and geometry of the apparent horizon, which depend on the spins,…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Leyla Ogurol , Tore Boybeyi , Bayram Tekin

In 4-dimensional General Relativity, black holes are described by the Kerr solution and are completely specified by their mass $M$ and by their spin angular momentum $J$. A fundamental limit for a black hole in General Relativity is the…

General Relativity and Quantum Cosmology · Physics 2011-04-13 Cosimo Bambi

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

There is a significant possibility that astrophysical black holes with nearly-extremal spins exist. Numerical simulations of such systems require suitable initial data. In this paper, we examine three methods of constructing…

General Relativity and Quantum Cosmology · Physics 2009-02-23 Geoffrey Lovelace , Robert Owen , Harald P. Pfeiffer , Tony Chu

The problem of the mutual attraction and joining of two black holes is of importance as both a source of gravitational waves and as a testbed of numerical relativity. If the holes start out close enough that they are initially surrounded by…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Richard H. Price , Jorge Pullin

We performed a series of 769 full numerical simulations of high energy collision of black holes to search for the maximum gravitational energy emitted $E_{rad}$, during their merger. We consider equal mass binaries with spins pointing along…

General Relativity and Quantum Cosmology · Physics 2025-04-29 James Healy , Alessandro Ciarfella , Carlos O. Lousto

It has been proved that arbitrarily high-energy collision between two particles can occur near the horizon of an extremal Kerr black hole as long as the energy $E$ and angular momentum $L$ of one particle satisfies a critical relation,…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Jincheng An , Jun Peng , Yan Liu , Xing-Hui Feng

It is shown that the Kerr black hole could act as accelerators for spinning particles. In principle, it could obtain arbitrarily high energy for extremal Kerr black hole. In this paper, we extend the previous research to the Kerr-(anti-)de…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Songming Zhang , Yunlong Liu , Xiangdong Zhang

We investigate the global properties of the radiation emitted by the accretion disk around Kerr black holes. Using the Kerr blackbody (KERRBB) numerical model, we build an analytic approximation of the disk emission features focusing on the…

High Energy Astrophysical Phenomena · Physics 2018-05-02 S. Campitiello , G. Ghisellini , T. Sbarrato , G. Calderone

We study theoretical aspects of the rotating black hole production and evaporation in the extra dimension scenarios with TeV scale gravity, within the mass range in which the higher dimensional Kerr solution provides good description. We…

High Energy Physics - Theory · Physics 2014-11-18 Daisuke Ida , Kin-ya Oda , Seong Chan Park

Initial data for boosted Kerr black hole are constructed in an axially symmetric case. Momentum and hamiltonian constraints are solved numerically using finite element method (FEM) algorithms. Both Bowen-York and puncture boundary…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski

Motivated by the TeV-scale gravity scenarios, we study gravitational radiation in the head-on collision of two black holes in higher dimensional spacetimes using a close-limit approximation. We prepare time-symmetric initial data sets for…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hirotaka Yoshino , Tetsuya Shiromizu , Masaru Shibata
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