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A large variety of spacetimes---including the BTZ black holes---can be obtained by identifying points in 2+1 dimensional anti-de Sitter space by means of a discrete group of isometries. We consider all such spacetimes that can be obtained…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Stefan Aminneborg , Ingemar Bengtsson , Dieter Brill , Soren Holst , Peter Peldan

Recently it has been shown that a 2+1 dimensional black hole can be created by a collapse of two colliding massless particles in otherwise empty anti-de Sitter space. Here we generalize this construction to the case of a non-zero impact…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Holst , H. -J. Matschull

We construct a positive constant curvature space by identifying some points along a Killing vector in a de Sitter Space. This space is the counterpart of the three-dimensional Schwarzschild-de Sitter solution in higher dimensions. This…

High Energy Physics - Theory · Physics 2009-11-07 Rong-Gen Cai

It is known from the work of Banados et al. that a space-time with event horizons (much like the Schwarzschild black hole) can be obtained from 2+1 dimensional anti-de Sitter space through a suitable identification of points. We point out…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Stefan Aminneborg , Ingemar Bengtsson , Soren Holst , Peter Peldan

Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The classical theory of such locally "anti-de Sitter"…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dieter Brill

Suppose a one-dimensional isometry group acts on a space, we can consider a submergion induced by the isometry, namely we obtain an orbit space by identification of points on the orbit of the group action. We study the causal structure of…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Hideki Ishihara , Satsuki Matsuno , Haruki Nakamura

In 6D general relativity with a phantom scalar field as a source of gravity, we present solutions that implement a transition from an effective 4D geometry times small extra dimensions to an effectively 6D space-time where the physical laws…

General Relativity and Quantum Cosmology · Physics 2017-09-19 K. A. Bronnikov , P. A. Korolyov , A. Makhmudov , M. V. Skvortsova

We combine notions of a maximal curvature scale in nature with that of a minimal curvature scale to construct a non-singular Schwarzschild-de Sitter black hole. We present an exact solution within the context of two-dimensional dilaton…

High Energy Physics - Theory · Physics 2018-11-13 Damien A. Easson

The geometry of the spinning black holes of standard Einstein theory in 2+1 dimensions, with a negative cosmological constant and without couplings to matter, is analyzed in detail. It is shown that the black hole arises from…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Maximo Banados , Marc Henneaux , Claudio Teitelboim , Jorge Zanelli

Exact solutions of Einstein's equations in 2+1-dimensional anti-de Sitter space containing any number of black holes are described. In addition to the black holes these spacetimes can possess ``internal'' structure. Accordingly the generic…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Dieter Brill

The aim of this paper is to report on the existence of a wide variety of exact solutions, ranging from black holes to wormholes, when a conformally coupled scalar field with a self interacting potential containing a linear, a cubic and a…

High Energy Physics - Theory · Physics 2015-06-03 Andres Anabalon , Adolfo Cisterna

We construct stationary, rotating black binaries in general relativity with a positive cosmological constant. We consider identical black holes with either aligned or anti-aligned spins. Both cases have less entropy than the corresponding…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Oscar J. C. Dias , Jorge E. Santos , Benson Way

Black holes of constant curvature are constructed by identifying points in anti-de Sitter space. In n dimensions the resulting topology is R^{n-1} * S_1, as opposed to the usual R^2 * S_{n-2} Schwarzschild black hole.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Maximo Banados

We explore the bubble spacetimes which can be obtained from double analytic continuations of static and rotating black holes in anti-de Sitter space. In particular, we find that rotating black holes with elliptic horizon lead to bubble…

High Energy Physics - Theory · Physics 2009-11-07 Danny Birmingham , Massimiliano Rinaldi

We investigate the topological black holes in a special class of Lovelock gravity. In the odd dimensions, the action is the Chern-Simons form for the anti-de Sitter group. In the even dimensions, it is the Euler density constructed with the…

General Relativity and Quantum Cosmology · Physics 2009-07-09 Rong-Gen Cai , Kwang-Sup Soh

We construct traversable wormholes with anti-de Sitter asymptotics supported by a phantom field. These wormholes are massless and symmetric with respect to reflection of the radial coordinate $\eta \to - \eta$. Their circumferential radius…

General Relativity and Quantum Cosmology · Physics 2021-10-22 Jose Luis Blázquez-Salcedo , Xiao Yan Chew , Jutta Kunz , Dong-han Yeom

The pair creation of black holes with event horizons of non-trivial topology is described. The spacetimes are all limiting cases of the cosmological $C$ metric. They are generalizations of the $(2+1)$ dimensional black hole and have…

General Relativity and Quantum Cosmology · Physics 2010-04-06 R. B. Mann

The Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti-de Sitter space. Matter fields in anti-de Sitter space can be in stable equilibrium even if the potential energy is unbounded from…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Vanzo

Anti-de Sitter space with identified points give rise to black-hole structures. This was first pointed out in three dimensions, and generalized to higher dimensions by Aminneborg et al. In this paper, we analyse several aspects of the five…

High Energy Physics - Theory · Physics 2009-10-31 Maximo Banados , Andres Gomberoff , Cristian Martinez

We investigate stable central structures in multiply-connected, anti de Sitter spacetimes with spherical, planar and hyperbolic geometries. We obtain an exact solution for the pressure in terms of the radius when the density is constant. We…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. L. Smith , R. B. Mann
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