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By applying Newman's algorithm, the AdS_3 rotating black hole solution is ``derived'' from the nonrotating black hole solution of Banados, Teitelboim, and Zanelli (BTZ). The rotating BTZ solution derived in this fashion is given in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongsu Kim

Banados-Teitelboim-Zanelli (BTZ) black holes are constructed by orbifolding AdS3 geometry by boost transformations of its O(2,2) isometry group. Here we construct a new class of solutions to AdS3 Einstein gravity, orientifolded BTZ or O-BTZ…

High Energy Physics - Theory · Physics 2015-03-13 F. Loran , M. M. Sheikh-Jabbari

We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of $U(1,1)\times U(1,1)$ Chern-Simons theory…

High Energy Physics - Theory · Physics 2009-01-13 Ee Chang-Young

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

In this paper, by means of regularisation procedure via $r\to \sqrt{r^2+l_0^2}$ (where $l_0$ can play the role of zero point length), we first modify the gravitational and electromagnetic potentials in two dimensions and then we solve the…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Kimet Jusufi

We investigate stationary, rotationally symmetric solutions of a recently proposed three-dimensional theory of massive gravity. Along with BTZ black holes, we also obtain warped AdS_3 black holes, and (for a critical value of the…

High Energy Physics - Theory · Physics 2009-11-13 Gerard Clement

The three dimensional black hole solutions of Ba\~nados, Teitelboim and Zanelli (BTZ) are dimensionally reduced in various different ways. Solutions are obtained to the Jackiw-Teitelboim theory of two dimensional gravity for spinless BTZ…

High Energy Physics - Theory · Physics 2014-11-18 Ana Achúcarro , Miguel Ortiz

We show that the 3D charged Banados-Teitelboim-Zanelli (BTZ) black hole solution interpolates between two different 2D AdS spacetimes: a near-extremal, near-horizon AdS_2 geometry with constant dilaton and U(1) field and an asymptotic AdS_2…

High Energy Physics - Theory · Physics 2011-03-28 Mariano Cadoni , Mohammad R. Setare

We reviewed the Ba\u nados-Teitelboim-Zanelli (BTZ) black hole solution in connection with the spinning string solution. We find a new exact solution, which can be related to the $(2+1)$-dimensional spinning point particle solution. There…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Reinoud J. Slagter , Jebin Larosh

We study the motion of particles in the background of a three-dimensional rotating Ho\v{r}ava AdS black hole that corresponds to a Lorentz-violating version of the BTZ black hole and we analyze the effect of the breaking of Lorentz…

General Relativity and Quantum Cosmology · Physics 2021-04-28 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

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

Based on the Newman-Janis algorithm the Ayon-Beato-Garcia spacetime metric of the regular spherically symmetric, static and charged black hole has been converted into rotational form. It is shown that the derived solution for rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Bobir Toshmatov , Bobomurat Ahmedov , Ahmadjon Abdujabbarov , Zdenek Stuchlik

We present a detailed analysis of $AdS_3$ gravity, the BTZ black hole and the associated conformal field theories (CFTs). In particular we focus on the non-extreme six-dimensional string solution with background metric $AdS_3 \times S^3$…

High Energy Physics - Theory · Physics 2009-10-31 Klaus Behrndt , Ilka Brunner , Ingo Gaida

We show that the rotating asymptotically anti de Sitter black hole solution of new massive gravity in three dimensions can support a static stealth configuration given by a conformally coupled scalar field. By static stealth configuration,…

High Energy Physics - Theory · Physics 2014-05-19 Mokhtar Hassaine

This paper aims to construct exceptional Banados-Teitelboim-Zanelli (BTZ) black holes carrying E$_{6}$ charges as solutions to the 3D higher spin Anti-de Sitter (AdS) gravity with E$_{6}$ boundary conditions. Guided by Tits-Satake graphs of…

High Energy Physics - Theory · Physics 2025-02-27 R. Sammani , E. H Saidi , R. Ahl Laamara

We revisit the previously known local inversion symmetry of the five-dimensional Kerr-AdS metric that relates the over-rotating black hole to the under-rotating one and reinterpret it as an interchanging symmetry between time and the…

High Energy Physics - Theory · Physics 2024-05-10 Si-Yue Lu , Peng Zhao , H. Lu

The nature of the central singularity of the BTZ geometries -- stationary vacuum solutions of 2+1 gravity with negative cosmological constant $\Lambda=-\ell^{-2}$ and $SO(2)\times \mathbb{R}$ isometry -- is discussed. The essential tool for…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Matías Briceño , Cristián Martínez , Jorge Zanelli

The generic rotating BTZ black hole, obtained by identifications in AdS3 space through a discrete subgroup of its isometry group, is investigated within a Lie theoretical context. This space is found to admit a foliation by two-dimensional…

High Energy Physics - Theory · Physics 2009-11-10 P. Bieliavsky , S. Detournay , M. Herquet , M. Rooman , Ph. Spindel

Previously we showed that nearly extremal Ba\~{n}ados-Teitelboim-Zanelli (BTZ) black holes can be overspun by test bodies and fields, following the work of Rocha and Cardoso for the extremal case. The naked singularities in AdS space-times…

General Relativity and Quantum Cosmology · Physics 2024-07-09 Koray Düztaş

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia
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