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We derive and analyze exact static solutions to the gravitating O(3) $\sigma$ model with cosmological constant in (2+1) dimensions. Both signs of the gravitational and cosmological constants are considered. Our solutions include…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Clement , A. Fabbri

We go "back to basics", studying accelerating systems in $2+1$ AdS gravity \textit{ab initio}. We find three classes of geometry, which we interpret by studying holographically their physical parameters. From these, we construct stationary,…

High Energy Physics - Theory · Physics 2022-05-25 Gabriel Arenas-Henriquez , Ruth Gregory , Andrew Scoins

With appropriately chosen parameters, the C-metric represents two uniformly accelerated black holes moving in the opposite directions on the axis of the axial symmetry (the z-axis). The acceleration is caused by nodal singularities located…

General Relativity and Quantum Cosmology · Physics 2008-11-26 V. Pravda , A. Pravdova

The Einstein-Hilbert action with a cosmological term is used to derive a new action in 1+1 spacetime dimensions. It is shown that the two-dimensional theory is equivalent to planar symmetry in General Relativity. The two-dimensional theory…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jose' P. S. Lemos

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

The $C$-metric is a boost-symmetric spacetime solution to the vacuum Einstein field equations which describes black holes that are uniformly accelerated under the tension of a cosmic string. Only recently the thermodynamics of accelerating…

General Relativity and Quantum Cosmology · Physics 2022-06-24 Kyriakos Destounis , Giacomo Mascher , Kostas D. Kokkotas

In this paper we have studied particle collision around a spinning dilaton black hole in 2 +1 dimensions. This black hole is a solution to the low energy string theory in 2+1 dimensions. Time-like geodesics are presented in detail and the…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Sharmanthie Fernando

We present a comprehensive analysis of the spacetime structure and thermodynamics of $(1+1)-$dimensional black holes in a noncommutative framework. It is shown that a wider variety of solutions are possible than the commutative case…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Jonas R. Mureika , Piero Nicolini

We investigate the global structure of a recently discovered simple exact, non-stationary solution of topologically massive and new massive gravity with the asymptotic charges of an undeformed BTZ black hole. We establish the existence of a…

High Energy Physics - Theory · Physics 2013-08-28 Mario Flory , Ivo Sachs

We consider static circularly symmetric solution of three-dimensional Einstein's equations with negative cosmological constant (the BTZ black hole). The case of zero cosmological constant corresponding to the interior region of a black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. de Berredo-Peixoto , M. O. Katanaev

We study a minimal extension of a recently proposed modification of general relativity that draws on concepts from topological field theory to resolve aspects of the cosmological constant problem. In the original model, the field content of…

General Relativity and Quantum Cosmology · Physics 2022-02-16 Stephon Alexander , Steven J. Clark , Gabriel Herczeg , Michael W. Toomey

We present numerical evidences for the existence of rotating black hole solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the solutions…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Y. Brihaye , T. Delsate

We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$. When $b=4$, the corresponding spinning black hole is a solution of low…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kevin C. K. Chan , Robert B. Mann

Three dimensional black holes in a generalized dilaton gravity action theory are analysed. The theory is specified by two fields, the dilaton and the graviton, and two parameters, the cosmological constant and the Brans-Dicke parameter. It…

High Energy Physics - Theory · Physics 2016-09-06 Paulo M. Sa' , Antares Kleber , Jose' P. S. Lemos

Macroscopic traversable wormhole solutions to Einstein's field equations in $(2+1)$ and $(3+1)$ dimensions with a cosmological constant are investigated. Ensuring traversability severely constrains the material used to generate the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 M. S. Delgaty , R. B. Mann

We examine background solutions of black hole type arising from the string effective action in five dimensions. We derive the unique metric - dilaton vacuum which is a Schwarzschild type black hole. It is found that it can be extended to…

High Energy Physics - Theory · Physics 2014-11-18 C. Chiou-Lahanas , G. A. Diamandis , B. C. Georgalas

We construct dynamical black ring solutions in the five dimensional Einstein-Maxwell system with a positive cosmological constant and investigate the geometrical structure. The solutions describe the physical process such that a thin black…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Masashi Kimura

We present a review of black holes and black string solutions available in the $d$-dimensional Einstein and Einstein-Maxwell model in the presence of a cosmological constant. Due to the cosmological constant, the equations do not admit…

General Relativity and Quantum Cosmology · Physics 2009-06-11 Yves Brihaye

The anti-de Sitter C-metric (AdS C-metric) is characterized by a quite interesting new feature when compared with the C-metric in flat or de Sitter backgrounds. Indeed, contrarily to what happens in these two last exact solutions, the AdS…

High Energy Physics - Theory · Physics 2009-11-07 Oscar J. C. Dias , Jose' P. S. Lemos

We propose an approach for constructing spatial slices of (3+1) spacetimes with cosmological constant but without a matter content, which yields (2+1) vacuum with $\Lambda$ solutions. The reduction mechanism from (3+1) to (2+1) gravity is…

General Relativity and Quantum Cosmology · Physics 2015-06-25 M. Cataldo , S. del Campo , A. Garcia