Lifshitz black holes in Brans-Dicke theory

We present an exact asymptotically Lifshitz black hole solution in Brans-Dicke theory of gravity in arbitrary n(≥ 3) dimensions in presence of a power-law potential. In this solution, the dynamical exponent z is determined in terms of the Brans-Dicke parameter ! and n. Asymptotic Lifshitz condition...

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Publicado: 2011
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2011_n11_p_Maeda
http://hdl.handle.net/20.500.12110/paper_11266708_v2011_n11_p_Maeda
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spelling paper:paper_11266708_v2011_n11_p_Maeda2023-06-08T16:08:13Z Lifshitz black holes in Brans-Dicke theory AdS-CFT correspondence Black holes Classical theories of gravity We present an exact asymptotically Lifshitz black hole solution in Brans-Dicke theory of gravity in arbitrary n(≥ 3) dimensions in presence of a power-law potential. In this solution, the dynamical exponent z is determined in terms of the Brans-Dicke parameter ! and n. Asymptotic Lifshitz condition at infinity requires z > 1, which corresponds to ?(n ? 1)/(n ? 2) ≥ w ?n/(n ? 1). On the other hand, the no-ghost condition for the scalar field in the Einstein frame requires 0 < z ≤ 2(n ? 2)/(n ? 3). We compute the Hawking temperature of the black hole solution and discuss the problems encountered and the proposals in defining its thermodynamic properties. A generalized solution charged under the Maxwell field is also presented. © 2011 SISSA. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2011_n11_p_Maeda http://hdl.handle.net/20.500.12110/paper_11266708_v2011_n11_p_Maeda
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic AdS-CFT correspondence
Black holes
Classical theories of gravity
spellingShingle AdS-CFT correspondence
Black holes
Classical theories of gravity
Lifshitz black holes in Brans-Dicke theory
topic_facet AdS-CFT correspondence
Black holes
Classical theories of gravity
description We present an exact asymptotically Lifshitz black hole solution in Brans-Dicke theory of gravity in arbitrary n(≥ 3) dimensions in presence of a power-law potential. In this solution, the dynamical exponent z is determined in terms of the Brans-Dicke parameter ! and n. Asymptotic Lifshitz condition at infinity requires z > 1, which corresponds to ?(n ? 1)/(n ? 2) ≥ w ?n/(n ? 1). On the other hand, the no-ghost condition for the scalar field in the Einstein frame requires 0 < z ≤ 2(n ? 2)/(n ? 3). We compute the Hawking temperature of the black hole solution and discuss the problems encountered and the proposals in defining its thermodynamic properties. A generalized solution charged under the Maxwell field is also presented. © 2011 SISSA.
title Lifshitz black holes in Brans-Dicke theory
title_short Lifshitz black holes in Brans-Dicke theory
title_full Lifshitz black holes in Brans-Dicke theory
title_fullStr Lifshitz black holes in Brans-Dicke theory
title_full_unstemmed Lifshitz black holes in Brans-Dicke theory
title_sort lifshitz black holes in brans-dicke theory
publishDate 2011
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2011_n11_p_Maeda
http://hdl.handle.net/20.500.12110/paper_11266708_v2011_n11_p_Maeda
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