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We show that in four or more spacetime dimensions, the Einstein equations for gravitational perturbations of maximally symmetric vacuum black holes can be reduced to a single 2nd-order wave equation in a two-dimensional static spacetime for…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama , Akihiro Ishibashi

We construct exact solutions that describe the near horizon region of extremal rotating black holes in Einstein-Born-Infeld theory. Using generalized Komar integrals, we extract the electric charge and angular momentum from the near horizon…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Tomáš Hale , Robie A. Hennigar , David Kubizňák

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca…

High Energy Physics - Theory · Physics 2018-03-14 Zhong-Ying Fan

We construct a fully analytic, general relativistic, nonspinning black hole binary spacetime that approximately solves the vacuum Einstein equations everywhere in space and time for black holes sufficiently well separated. The metric is…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Bruno C. Mundim , Hiroyuki Nakano , Nicolás Yunes , Manuela Campanelli , Scott C. Noble , Yosef Zlochower

We derive the BPS type of first order differential equations for the rotating black hole solutions in the three-dimensional Einstein gravity coupled minimally with a self-interacting scalar field, using fake supersymmetry formalism. It…

High Energy Physics - Theory · Physics 2013-04-03 Seungjoon Hyun , Jaehoon Jeong , Sang-Heon Yi

We find exact solutions of the Einstein equations which describe a black hole pierced by infinitely thin cosmic strings. The string segments enter the black hole along the radii and their positions coincide with the symmetry axes of a…

High Energy Physics - Theory · Physics 2009-11-07 V. P. Frolov , D. V. Fursaev

The aim of this paper is to obtain the solution of the Einstein equation in the interior of the black holes by using arbitrary distribution functions; corresponding to Gaussian, Rayleigh, Maxwell-Boltzmann and non-Gaussian distributions.…

General Relativity and Quantum Cosmology · Physics 2018-03-19 N. A. Hussein , D. A. Eisa , T. A. S. Ibrahim

In this work the quantum theory of two dimensional dilaton black holes is studied using the Wheeler De Witt equation. The solutions correspond to wave functions of the black hole. It is found that for an observer inside the horizon, there…

High Energy Physics - Theory · Physics 2009-10-22 Ulf H. Danielsson

We argue the existence of solutions of the Euclidean Einstein equations that correspond to a vortex sitting at the horizon of a black hole. We find the asymptotic behaviours, at the horizon and at infinity, of vortex solutions for the gauge…

High Energy Physics - Theory · Physics 2011-04-20 Fay Dowker , Ruth Gregory , Jennie Traschen

We describe a midi-superspace quantization scheme for generic single horizon black holes in which only the spatial diffeomorphisms are fixed. The remaining Hamiltonian constraint yields an infinite set of decoupled eigenvalue equations: one…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Gegenberg , G. Kunstatter , R. D. Small

Multi-black hole solutions play a relevant role both from the theoretical and the phenomenological point of view. In this Thesis, we construct some regular multi-black hole spacetimes in pure Einstein's General Relativity with the aid of…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Adriano Viganò

The near-horizon geometry of evaporation black holes is determined according to the semi-classical Einstein equation. We consider spherically symmetric configurations in which the collapsing star has already collapsed below the…

High Energy Physics - Theory · Physics 2018-08-01 Pei-Ming Ho , Yoshinori Matsuo

Generalizations of the Black Hole geometry of Ba\~nados, Teitelboim and Zanelli (BTZ) are presented. The theory is three-dimensional vacuum Einstein theory with a negative cosmological constant. The $n$-black-hole solution has $n$…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Dieter R. Brill

A numerical solution scheme for the Einstein field equations based on generalized harmonic coordinates is described, focusing on details not provided before in the literature and that are of particular relevance to the binary black hole…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frans Pretorius

This work describes new perturbative solutions to the classical, four-dimensional Kerr--Newman dilaton black hole field equations. Our solutions do not require the black hole to be slowly rotating. The unperturbed solution is taken to be…

High Energy Physics - Theory · Physics 2008-11-26 R. Casadio , B. Harms , Y. Leblanc , P. H. Cox

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

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

Using an effective potential method we examine binary black holes where the individual holes carry spin. We trace out sequences of quasi-circular orbits and locate the innermost stable circular orbit as a function of spin. At large…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Harald P. Pfeiffer , Saul A. Teukolsky , Gregory B. Cook

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 present an exact solution of Einstein's equation that describes the gravitational shockwave of a massless particle on the horizon of a Kerr-Newman black hole. The backreacted metric is of the generalized Kerr-Schild form and is Type II…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Yoni BenTov , Joe Swearngin