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In the harmonic description of general relativity, the principle part of Einstein's equations reduces to 10 curved space wave equations for the componenets of the space-time metric. We present theorems regarding the stability of several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mohammad Motamed , M. Babiuc , B. Szilagyi , H-O. Kreiss , J. Winicour

The properties of higher-dimensional black holes can differ significantly from those of black holes in four dimensions, since neither the uniqueness theorem, nor the staticity theorem or the topological censorship theorem generalize to…

High Energy Physics - Theory · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lerida

We present spherically symmetric black hole solutions for Einstein gravity coupled to anisotropic matter. We show that these black holes have arbitrarily short hair, and argue for stability by showing that they can arise from dynamical…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Brown , Viqar Husain

We study motion around a static Einstein and pure Lovelock black hole in higher dimensions. It is known that in higher dimensions, bound orbits exist only for pure Lovelock black hole in all even dimensions, D=2N+2, where N is degree of…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Mukul Bhattacharya , Naresh Dadhich , Banibrata Mukhopadhyay

The small or zero cosmological constant, $\Lambda$, probably results from a macroscopic cancellation mechanism of the zero-point energies. However, nearby horizon surfaces any macroscopic mechanism is expected to result in imperfect…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Maurice H. P. M. van Putten

We have recently constructed a numerical code that evolves a spherically symmetric spacetime using a hyperbolic formulation of Einstein's equations. For the case of a Schwarzschild black hole, this code works well at early times, but…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mark A. Scheel , Thomas W. Baumgarte , Gregory B. Cook , Stuart L. Shapiro , Saul A. Teukolsky

In this short note, I present a generalization of a set of static D-dimensional (D >= 3) Lifshitz black holes, which are solutions of the gravitational model obtained by amending the cosmological Einstein theory with the addition of only…

High Energy Physics - Theory · Physics 2011-12-09 Ozgur Sarioglu

The well-known $(2+1)$-dimensional Reissner-Nordstrom (BTZ) black hole can be generalized to three dimensional Einstein-nonlinear electromagnetic field, motivated from obtaining a finite value for the self-energy of a pointlike charge.…

High Energy Physics - Theory · Physics 2014-05-21 S. H. Hendi

We show that rotating dyonic black holes with static and counterrotating horizon exist in Einstein-Maxwell-dilaton theory when the dilaton coupling constant exceeds the Kaluza-Klein value. The black holes with static horizon bifurcate from…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Burkhard Kleihaus , Jutta Kunz , Francisco Navarro-Lérida

We report on the first results of self-consistent second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The second order waveforms satisfy a wave equation with an effective source term build…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hiroyuki Nakano , Carlos O. Lousto

We perform numerical simulations of gravitational collapse in Einstein-aether theory. We find that under certain conditions, the collapse results in the temporary formation of a white hole horizon.

General Relativity and Quantum Cosmology · Physics 2016-08-26 Ratindranath Akhoury , David Garfinkle , Nishant Gupta

A four-dimensional static Schwarzschild-like solution obtained in [3]-[6] in the frames of the Einstein-Gauss-Bonnet gravity at the Kaluza-Klein split is analyzed. The matter in these solutions is created by auxiliary dimensions. The main…

General Relativity and Quantum Cosmology · Physics 2016-01-07 S. O. Alexeyev , B. N. Latosh , A. N. Petrov

Rotating black holes are algebraically special solutions to the vacuum Einstein equation. Using properties of the algebraically special solutions we construct the dual fluid, which flows on black hole horizon. An explicit form of the Kerr…

High Energy Physics - Theory · Physics 2018-08-01 Vyacheslav Lysov

Black holes in General Relativity are described by space-time metrics that are simpler in comparison to non-vacuum compact objects. However, given the universality of the gravitational pull, it is expected that dark matter accumulates…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Caio F. B. Macedo , João Luís Rosa , Diego Rubiera-Garcia

We introduce a minimally coupled dark sector based on a nonlinear electrodynamics to generate regular spacetime textures that interpolate from a regular core to an asymptotic Lorentz-violating conical geometry. This construction provides a…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Zhi-Chao Li , H. Lu

We construct a black hole initial data for the Einstein equations with prescribed scalar curvature, or more precisely a piece of initial data contained inside the black hole. The constraints translate into a parabolic equation, with radius…

Differential Geometry · Mathematics 2012-07-12 Bernold Fiedler , Juliette Hell , Brian Smith

A solvable 2-dimensional conformally invariant midi-superspace model for black holes is obtained by imposing spherical symmetry in 4-dimensional conformally invariant Einstein gravity. The Wheeler-DeWitt equation for the theory is solved…

General Relativity and Quantum Cosmology · Physics 2009-12-30 J. Gegenberg , G. Kunstatter

In the context of f(R) modified gravity theories we determine that the black holes existence is determined by the sign of a parameter dependent of the mass, the charge, the spin and the scalar curvature. We obtain the different…

General Relativity and Quantum Cosmology · Physics 2012-02-07 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Leor Barack , Carlos O. Lousto

We investigate the construction of black holes and black strings in vacuum plane wave spacetimes using the method of matched asymptotic expansions. We find solutions of the linearised equations of motion in the asymptotic region for a…

High Energy Physics - Theory · Physics 2014-11-20 Julian Le Witt , Simon F. Ross