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In this paper we present two results in $(2+1)$ gravity coupled to nonlinear electrodynamics. First it is determined the general form of the electromagnetic field tensor in $(2+1)$ gravity coupled to nonlinear electrodynamics in stationary…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Pedro Cañate , Nora Breton

In the first part we define a "BTZ" black hole in anti de Sitter space in any dimension by defining as "singular" the closed orbits of the Iwasawa component of SO(2,n). In the second part, a strict quantization of the black hole by action…

Differential Geometry · Mathematics 2009-12-14 Laurent Claessens

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

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

We give a review of our joint work on strict deformation of BHTZ 2+1 black holes \cite{BRS02,BDHRS03}. However some results presented here are not published elsewhere, and an effort is made for enlightening the instrinsical aspect of the…

Quantum Algebra · Mathematics 2007-05-23 Pierre Bieliavsky , Stephane Detournay , Marianne Rooman , Philippe Spindel

We investigate the space-time geometry generated by compact objects in (2+1)-dimensional Bopp-Podolsky electrodynamics. Inspired by previous studies where the Bopp-Podolsky field acts as a source for spherically symmetric solutions, we…

General Relativity and Quantum Cosmology · Physics 2025-02-26 R. V. Maluf , J. E. G. Silva , C. A. S. Almeida , Gonzalo J. Olmo

We use the Noether symmetry approach to find $f(R)$ theory of $(2+1)$ dimensional gravity and $(2+1)$ dimensional black hole solution consistent with this $f(R)$ gravity and the associated symmetry. We obtain $f({R})=D_1…

General Relativity and Quantum Cosmology · Physics 2015-06-15 F. Darabi , K. Atazadeh , A. Rezaei-Aghdam

We compute the properties of a class of charged black holes in anti-de Sitter space-time, in diverse dimensions. These black holes are solutions of consistent Einstein-Maxwell truncations of gauged supergravities, which are shown to arise…

High Energy Physics - Theory · Physics 2009-10-31 Andrew Chamblin , Roberto Emparan , Clifford V. Johnson , Robert C. Myers

We provide a new regular black hole solution in $(2+1)$ dimensions with presence of matter fields in the energy momentum tensor, having its core a flat or (A)dS structure. Since the first law of thermodynamics for regular black holes is…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Milko Estrada , Francisco Tello-Ortiz

The application of nonlinear electrodynamics at high energy scales has led to a variety of interesting phenomena in recent years, particularly within the context of non-singular spacetime geometries. Additionally, it is postulated that…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Athanasios G. Tzikas

We point out that the BTZ black holes, and their relatives, can be defined in a cleaner way than they originally were. The covering space can be taken to be anti-de Sitter space, period, while scri splits up into components due to Misner…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Aminneborg , Ingemar Bengtsson

To have the correct picture of a black hole as a whole it is of crucial importance to understand its interior. The singularities that lurk inside the horizon of the usual Kerr-Newman family of black hole solutions signal an endpoint to the…

General Relativity and Quantum Cosmology · Physics 2011-06-13 José P. S. Lemos , Vilson T. Zanchin

We present new exact charged black hole solutions in (2+1) dimensions within the framework of $f({Q})$ gravity, where ${Q}$ denotes the non-metricity scalar. By considering a cubic $f({Q})$ form we derive classes of charged and uncharged…

General Relativity and Quantum Cosmology · Physics 2026-04-24 G. G. L. Nashed , Emmanuel N. Saridakis

The (single) black hole solutions of Ba\~nados, Teitelboim and Zanelli (BTZ) in 2+1 dimensional anti-de Sitter space are generalized to an arbitrary number $n$ of such black holes. The resulting multi-black-hole (MBH) spacetime is locally…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Dieter R. Brill

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

Despite the experimental success of general relativity in the scales it has been tested, there are still some inconsistencies, such as explaining the acceleration of the universe and singularities. $f(R)$ gravity has emerged to provide…

General Relativity and Quantum Cosmology · Physics 2023-12-12 A. C. L. Santos , R. V. Maluf , C. R. Muniz

We find a new black hole in three dimensional anti-de Sitter space by introducing an anisotropic perfect fluid inspired by the noncommutative black hole. This is a regular black hole with two horizons. We compare thermodynamics of this…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Yun Soo Myung , Myungseok Yoon

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

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

We present arguments for the existence of charged, rotating black holes in $d=2N+1$ dimensions, with $d\geq 5$ with a positive cosmological constant. These solutions posses both, a regular horizon and a cosmological horizon of spherical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Y. Brihaye , T. Delsate