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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 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

The well-known BTZ black hole solution of (2+1) Einstein's gravity, in the presence of a cosmological constant, is treated both at the classical and quantum level. Classically, the imposition of the two manifest local Killing fields of the…

General Relativity and Quantum Cosmology · Physics 2015-06-19 T. Christodoulakis , N. Dimakis , Petros A. Terzis , G. Doulis

We find a new rotating black hole in three-dimensional anti-de Sitter space using an anisotropic perfect fluid inspired by the noncommutative black hole. We deduce the thermodynamical quantities of this black hole and compare them with…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Juan Manuel Tejeiro , Alexis Larranaga

In this work, we obtained the black hole solutions in the expansion f(R)-gravitation (R is not regarded as a constant here), and studied their thermodynamics, especially the phase transition and criticality in anti-de Sitter Behavior (AdS)…

General Relativity and Quantum Cosmology · Physics 2022-03-25 Wen-Xiang Chen , Yao-Guang Zheng

A number of three-dimensional (3D) gravity models, such as 3D conformal gravity, admit "exotic" black hole solutions: the metric is the same as the BTZ metric of 3D Einstein gravity but with reversed roles for mass and angular momentum, and…

High Energy Physics - Theory · Physics 2013-06-07 Paul K. Townsend , Baocheng Zhang

We obtain new regular black hole solutions for an action in 2+1 dimensions with bilocal Ricci scalar and negative cosmological constant. Besides their connection to the cosmological constant, these solutions depend on a fundamental length…

General Relativity and Quantum Cosmology · Physics 2023-11-27 H. R. Christiansen , Milko Estrada , M. S. Cunha , J. Furtado , C. R. Muniz

We develop an effective metric description of 2+1 dimensional black holes describing deviations from the classical Ba\~nados-Teitelboim-Zanelli (BTZ) black hole. The latter is a classical 2+1 dimensional rotating black hole with constant…

General Relativity and Quantum Cosmology · Physics 2024-12-23 Stefan Hohenegger , Mikolaj Myszkowski , Mattia Damia Paciarini , Francesco Sannino

We work towards the general solution of the two-body problem in 2+1-dimensional general relativity with a negative cosmological constant. The BTZ solutions corresponding to black holes, point particles and overspinning particles can be…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Carsten Gundlach

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 obtain an exact analytic expression for the quasinormal modes of a noncommutative massless scalar field in the background of a massive spinless BTZ black hole up to the first order in the deformation parameter. We also show that the…

High Energy Physics - Theory · Physics 2015-10-29 Kumar S. Gupta , E. Harikumar , Tajron Jurić , Stjepan Meljanac , Andjelo Samsarov

It has been suggested in the literature that, given a black hole spacetime, a relativistic membrane can provide an effective description of the horizon dynamics. In this paper, we explore such a framework in the context of a 2+1-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-07 A. J. M. Medved

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

The non-rotating BTZ solution is expressed in terms of coordinates that allow for an arbitrary time-dependent scale factor in the boundary metric. We provide explicit expressions for the coordinate transformation that generates this form of…

General Relativity and Quantum Cosmology · Physics 2015-05-28 N. Lamprou , S. Nonis , N. Tetradis

We obtain rotating black hole solutions to the novel 3D Gauss-Bonnet theory of gravity recently proposed. These solutions generalize the BTZ metric and are not of constant curvature. They possess an ergoregion and outer horizon, but do not…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Robie A. Hennigar , David Kubiznak , Robert B. Mann

We examine the behavior of non-commutative Schwarzschild black holes in the context of massive gravity. According to the investigation, corresponding to a minimal mass, the black hole can have two horizons, one horizon, or no horizon at…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Piyali Bhar , Dhruba Jyoti Gogoi , Supakchai Ponglertsakul

By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Mohsen Dehghani

In their seminal 1992 paper, Ba\~{n}ados, Teitelboim and Zanelli (BTZ) proposed a simple charged generalization of what is now known as the spinning BTZ black hole, the proposal being that a rotating metric can be supported by a `static…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Tomáš Hale , Brayden R. Hull , David Kubizňák , Robert B. Mann , Jana Menšíková

Although all popular approaches to quantum gravity are able to recover the Bekenstein-Hawking entropy-area law in the thermodynamic limit, there are significant differences in their descriptions of the microstates and in the application of…

High Energy Physics - Theory · Physics 2010-02-19 Cenalo Vaz , L. C. R. Wijewardhana

We investigate electrically charged black holes in $(2+1)$ dimensional gravity coupled to nonlinear electrodynamics (NED). The metric function $f(r)$ is depicted, showing that there can be one or two horizons. We study black hole…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Prosenjit Paul , S. I. Kruglov