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We present an analog model for the Ba\~nados, Teitelboim, Zanelli (BTZ) black hole based on a hydrodynamical flow. We numerically solve the fully nonlinear hydrodynamic equations of motion and observe the excitation and decay of the analog…

General Relativity and Quantum Cosmology · Physics 2022-09-19 Christyan C. de Oliveira , Ricardo A. Mosna

We consider a class of black hole solutions to Einstein's equations in d dimensions with a negative cosmological constant. These solutions have the property that the horizon is a (d-2)-dimensional Einstein manifold of positive, zero, or…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham

We study Einstein gravity minimally coupled to a scalar field in a static, spherically symmetric space-time in four dimensions. Black hole solutions are shown to exist for a phantom scalar field whose kinetic energy is negative. These…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , M. S. Chernakova , J. C. Fabris , N. Pinto-Neto , M. E. Rodrigues

We apply the Hamiltonian formulation of teleparallel theories of gravity in 2+1 dimensions to a circularly symmetric geometry. We find a family of one-parameter black hole solutions. The BTZ solution fixes the unique free parameter of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. A. Sousa , J. W. Maluf

We discuss the exact electrically charged BTZ black hole solutions to the Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions assuming a (anti-)self dual condition between the electromagnetic fields.…

High Energy Physics - Theory · Physics 2009-10-30 Masaru Kamata , Takao Koikawa

We study the relevant structure of so(2,n) which makes the BTZ black hole possible in the anti de Sitter space. We pay a particular attention of the reductive Lie algebra structures and Iwasawa decompositions and the way these structures…

Differential Geometry · Mathematics 2010-07-20 Laurent Claessens

We re-examine Hawking radiation for a nonrotating (2+1)-dimensional BTZ black hole and evaluate the transmission probability of tunneling through the barrier of the event horizon employing the standard method of WKB approximation. Our…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Bijan Bagchi , Sauvik Sen

It is shown that the five-dimensional anti-de Sitter black hole is a supersymmetric solution of the low-energy field equations of type IIB string theory compactified on an Einstein space. A statistical interpretation of the mass dependence…

High Energy Physics - Theory · Physics 2009-10-31 Danny Birmingham

The entropy of a Ba\~nados, Teitelboim, and Zanelli black hole in topologically massive gravity had been given with the form inconsistent with the Bekenstein-Hawking entropy. In the paper, we provide a consistent statistical interpretation…

High Energy Physics - Theory · Physics 2013-12-12 Baocheng Zhang

Using the fact that theories of gravity with asymptotically three-dimensional anti-de Sitter geometries have dual descriptions as two-dimensional conformal field theories (CFTs), we present the first study in field theory of the…

High Energy Physics - Theory · Physics 2020-04-15 Clifford V. Johnson , Victoria L. Martin , Andrew Svesko

In the previous paper Ref.[1], it was claimed that the black hole can be considered as a kind of topological insulator. For BTZ black hole in three dimensional $AdS_3$ spacetime two evidences were given to support this claim: the first…

General Relativity and Quantum Cosmology · Physics 2017-12-21 Jingbo Wang

In this work, we construct an exact spherically symmetric black hole solution with a global monopole in the context of four-dimensional noncommutative Einstein-Gauss-Bonnet gravity. We modeled the spacetime noncommutativity via a…

General Relativity and Quantum Cosmology · Physics 2026-01-07 B. Hamil

The non-Abelian T-dualization of the BTZ black hole is discussed in detail by using the Poisson-Lie T-duality in the presence of spectators. We explicitly construct a dual pair of sigma models related by Poisson-Lie symmetry. The original…

High Energy Physics - Theory · Physics 2017-09-25 A. Eghbali , L. Mehran-nia , A. Rezaei-Aghdam

We construct asymptotically anti-deSitter (and deSitter) black hole solutions of Einstein-Born-Infeld theory in arbitrary dimension. We critically analyse their geometries and discuss their thermodynamic properties.

High Energy Physics - Theory · Physics 2015-06-26 Tanay Kr. Dey

We establish a universal thermodynamic topological classification for three-dimensional static neutral Ba\~{n}ados-Teitelboim-Zanelli (BTZ), charged BTZ, and rotating BTZ black holes. We demonstrate that in all three cases (static neutral…

High Energy Physics - Theory · Physics 2025-04-22 Ying Chen , Xiao-Dan Zhu , Di Wu

In this paper, we study the thermodynamics and phase transition of a BTZ black hole in a finite space region, namely a cavity. By imposing a temperature-fixed boundary condition on the wall of the cavity and evaluating the Euclidean action,…

General Relativity and Quantum Cosmology · Physics 2022-08-25 Yuchen Huang , Jun Tao

The entropy of the BTZ black hole is computed in the Ponzano-Regge formulation of three-dimensional lattice gravity. It is seen that the correct semi-classical behaviour of entropy is reproduced by states that correspond to all possible…

General Relativity and Quantum Cosmology · Physics 2009-10-31 V. Suneeta , R. K. Kaul , T. R. Govindarajan

In this paper we study the first law of thermodynamics for the (2+1) dimensional BTZ rotating black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are…

General Relativity and Quantum Cosmology · Physics 2007-10-09 Alexis Larranaga

In this article, we calculate the classical vortex solution of a spontaneously broken gauge theory interacting with gravity in (2+1)-dimension. We also calculate the conditions for the formation of a (2+1)-dimensional black hole due to…

High Energy Physics - Theory · Physics 2021-08-18 Kumar J. B. Ghosh

Low energy limits of a string theory suggest that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss-Bonnet densities. Einstein-Gauss-Bonnet is a natural extension of…

General Relativity and Quantum Cosmology · Physics 2018-06-19 Sushant G. Ghosh