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In this paper we review the properties of the black hole entropy in the light of a general conformal field theory treatment. We find that the properties of horizons of the BTZ black holes in ADS_{3}, can be described in terms of an…

High Energy Physics - Theory · Physics 2008-11-26 G. Maiella , C. Stornaiolo

Charged black holes in a ($2+1$)-dimensional anti-de Sitter space-time suffer from some limitations such as the ambiguity in the definition of the mass and the bad short distance behavior. In this paper we present a way to resolve such…

General Relativity and Quantum Cosmology · Physics 2021-06-24 Patricio Gaete , Piero Nicolini , Euro Spallucci

We consider a $(2+1)$-dimensional spacetime whose two-dimensional space part is Weyl-related to a surface of arbitrary negative constant Gaussian curvature with symmetries of two-dimensional Lie algebra. It is shown that the geometry is a…

High Energy Physics - Theory · Physics 2025-07-10 F. Naderi , A. Rezaei-Aghdam

$f(R)$ theory is a modification of Einstein general relativity which has many interesting results in cosmology and astrophysics. To derive black hole solution in this theory is difficult due to the fact that it is fourth order differential…

General Relativity and Quantum Cosmology · Physics 2020-02-19 G. G. L. Nashed , Kazuharu Bamba

It is observed that the three-dimensional BTZ black hole is a supersymmetric solution of the low-energy field equations of heterotic string theory compactified on an Einstein space. The solution involves a non-zero dilaton and NS-NS…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham , Ivo Sachs , Siddhartha Sen

Static, spherically symmetric solutions of the field equations for a particular dimensional continuation of general relativity with negative cosmological constant are found. In even dimensions the solution has many similarities with the…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Maximo Banados

An off-shell generalization of the Abbott-Deser-Tekin (ADT) conserved charge was recently proposed by Kim et al. They achieved this by introducing off-shell Noether currents and potentials. In this paper, we construct the crucial off-shell…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Jun-Jin Peng

Regarding a special class of pure F(R) gravity in three dimensions, we obtain, analytically, Lifshitz-like black hole solutions. We check the geometrical properties of the solutions which behave such as charged BTZ black holes in special…

General Relativity and Quantum Cosmology · Physics 2020-05-27 S. H. Hendi , R. Ramezani-Arani , E. Rahimi

When two point particles, coupled to three dimensional gravity with a negative cosmological constant, approach each other with a sufficiently large center of mass energy, then a BTZ black hole is created. An explicit solution to the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hans-Juergen Matschull

It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The…

General Relativity and Quantum Cosmology · Physics 2015-12-30 Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli

We consider the Generalized Minimal Massive Gravity (GMMG) model in the first order formalism. We show that all the solutions of the Einstein gravity with negative cosmological constants solve the equations of motion of considered model.…

High Energy Physics - Theory · Physics 2016-08-03 M. R. Setare , H. Adami

The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole -characterized by mass, angular momentum and charge, defined by flux integrals at…

High Energy Physics - Theory · Physics 2009-10-22 Máximo Bañados , Claudio Teitelboim , Jorge Zanelli

The regularization procedure for getting the four-dimensional nontrivial Einstein-Gauss-Bonnet effective description of gravity and its Lovelock generalization has been recently developed. Here we propose the regularization for the…

General Relativity and Quantum Cosmology · Physics 2020-09-04 R. A. Konoplya , A. Zhidenko

We show that, in the first or second order orthonormal frame formalism, black hole entropy is the horizon Noether charge for a combination of diffeomorphism and local Lorentz symmetry involving the Lie derivative of the frame. The Noether…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Ted Jacobson , Arif Mohd

Lower dimensional gravity has the potential of providing non-trivial and valuable insight into some of the conceptual issues arising in four dimensional relativistic gravitational analysis. The asymptotically anti-de Sitter (2+1)…

General Relativity and Quantum Cosmology · Physics 2011-09-21 Ranjan Sharma , Farook Rahaman , Indrani Karar

The entropy of a BTZ black hole in the presence of gravitational Chern-Simons terms has previously been analyzed using Euclidean action formalism. In this paper we treat the BTZ solution as a two dimensional black hole by regarding the…

High Energy Physics - Theory · Physics 2009-11-11 Bindusar Sahoo , Ashoke Sen

Recently, Ba\~{n}ados, Teitelboim and Zanelli (BTZ) \cite{BTZ1992} has discovered an explicit vacuum solution of (2+1)-dimensional gravity with negative cosmological constant. It has been argued that the existence of such physical systems…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Farook Rahaman , A. Banerjee , I. Radinschi

We present exact spherical black hole solutions in de Rham, Gabadadze and Tolley (dRGT) massive gravity for a generic choice of the parameters in the theory, and also discuss the thermodynamical and phase structure of the black hole in both…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Sushant G. Ghosh , Lunchakorn Tannukij , Pitayuth Wongjun

In this work, we study the possibility of generalizing solutions of regular black holes with an electric charge, constructed in general relativity, for the $f(G)$ theory, where $G$ is the Gauss-Bonnet invariant. This type of solution arises…

General Relativity and Quantum Cosmology · Physics 2018-08-20 Marcos V. de S. Silva , Manuel E. Rodrigues

We obtain two exact solutions of Einstein gravity coupled to nonlinear electrodynamics (NLED) in $(2+ 1)$-dimensional Anti-de Sitter (AdS) spacetime. The solutions are characterized by the mass $M$, angular momentum $J$, cosmological…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Pedro Cañate , Daniela Magos , Nora Breton
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