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Related papers: Miens of The Three Dimensional Black Hole

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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

Generalizations of the Black Hole geometry of Ba\~nados, Teitelboim and Zanelli (BTZ) are presented. The theory is three-dimensional vacuum Einstein theory with a negative cosmological constant. The $n$-black-hole solution has $n$…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Dieter R. Brill

The dimensional reduction of black hole solutions in four-dimensional (4D) general relativity is performed and new 3D black hole solutions are obtained. Considering a 4D spacetime with one spacelike Killing vector, it is possible to split…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Vilson T. Zanchin , Antares Kleber , Jose' P. S. Lemos

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 three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ryo Yamazaki , Daisuke Ida

Two solutions of stringy gravity in three and four dimensions which admit interpretation as a black hole and a black string, respectively, are discussed. It is demonstrated that they are exact WZWN nonlinear sigma models to all orders in…

High Energy Physics - Theory · Physics 2007-05-23 Nemanja Kaloper

We construct an exact solution in four-dimensional Einstein-Maxwell-dilaton theory, describing multi-centered rotating black holes carrying both electric and magnetic charges, obtained via dimensional reduction from five-dimensional…

High Energy Physics - Theory · Physics 2025-10-01 Shinya Tomizawa , Jun-ichi Sakamoto , Ryotaku Suzuki

Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The classical theory of such locally "anti-de Sitter"…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dieter Brill

We study spherically symmetric, asymptotically flat black hole solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton, in various dimensions. We derive the field…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Zong-Kuan Guo , Nobuyoshi Ohta , Takashi Torii

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 technique of dimensional reduction was used in a recent paper (Zanchin et al, Phys. Rev. D66, 064022,(2002)) where a three-dimensional (3D) Einstein-Maxwell-Dilaton theory was built from the usual four-dimensional (4D)…

General Relativity and Quantum Cosmology · Physics 2016-03-31 V. T. Zanchin , A. S. Miranda

Several types of static solutions to Einstein's equations coupled with antisymmetric tensor fields are found in $(2+N+1)$-dimensional spacetime. The solutions describe a product of a three-dimensional radially symmetric spacetime and an…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Takuya Maki , Kiyoshi Shiraishi

A nonlinear charged version of the (2+1)-anti de Sitter black hole solution is derived. The source to the Einstein equations is a Born-Infeld electromagnetic field, which in the weak field limit becomes the (2+1)-Maxwell field. The obtained…

High Energy Physics - Theory · Physics 2009-10-31 Mauricio Cataldo , Alberto Garcia

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact solution to string theory. This black hole is…

High Energy Physics - Theory · Physics 2010-11-01 Gary T. Horowitz , Dean L. Welch

This note is based on a talk given by one of the authors (S. D.) at the "Rencontres Math\'ematiques de Glanon", held in Glanon in July 2004. We will first introduce the BTZ black hole, solution of Einstein's gravity in 2+1 dimensions, and…

High Energy Physics - Theory · Physics 2007-05-23 P. Bieliavsky , S. Detournay , M. Rooman , Ph. Spindel

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

In 2+1 dimensional Chern-Simons gravity, Wilson loops in the three dimensional Anti de Sitter group, $SO(2,2)$, reproduce the spinning black hole of Ba\~nados, Teitelboim and Zanelli (BTZ) by naturally duplicating the necessary…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Cenalo Vaz , Louis Witten

We present some exact non-uniform black string solutions of 5-dimensional pure Einstein gravity as well as Einstein-Maxwell-dilaton theory at arbitrary dilaton coupling. The solutions share the common property that their 4-dimensional…

High Energy Physics - Theory · Physics 2008-11-26 Liu Zhao , Kai Niu , Bing-Shu Xia , Yi-Ling Dou , Jie Ren

We obtain an exact solution of Einstein's equations for a charged, static and spherically symmetric body, surrounded by a fluid of strings and with a cosmological constant. This corresponds to the Reissner-Nordstr\"om (de Sitter)-Anti de…

General Relativity and Quantum Cosmology · Physics 2020-12-30 J. M. Toledo , V. B. Bezerra

We present a new class of spinning black hole solutions in $(2+1)$-dimensional general relativity minimally coupled to a dilaton with potential $e^{b\phi}\Lambda$. When $b=4$, the corresponding spinning black hole is a solution of low…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kevin C. K. Chan , Robert B. Mann
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