Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants

We study exact solutions to cosmological topologically massive gravity coupled to topologically massive electrodynamics at special values of the coupling constants. For the particular case of the so-called chiral point lμG=1, vacuum solutions (with vanishing gauge field) are exhibited. These corresp...

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Autores principales: Garbarz, Alan Nicolás, Giribet, Gastón Enrique
Publicado: 2009
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v79_n4_p_Garbarz
http://hdl.handle.net/20.500.12110/paper_15507998_v79_n4_p_Garbarz
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_15507998_v79_n4_p_Garbarz2023-06-08T16:22:08Z Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants Garbarz, Alan Nicolás Giribet, Gastón Enrique We study exact solutions to cosmological topologically massive gravity coupled to topologically massive electrodynamics at special values of the coupling constants. For the particular case of the so-called chiral point lμG=1, vacuum solutions (with vanishing gauge field) are exhibited. These correspond to a one-parameter deformation of general relativity solutions, and are continuously connected to the extremal Bañados- Teitelboim-Zanelli black hole with bare constants J=-lM. At the chiral point this extremal Bañados-Teitelboim-Zanelli black hole turns out to be massless, and thus it can be regarded as a kind of ground state. Although the solution is not asymptotically AdS3 in the sense of Brown-Henneaux boundary conditions, it does obey the weakened asymptotic recently proposed by Grumiller and Johansson. Consequently, we discuss the holographic computation of the conserved charges in terms of the stress tensor in the boundary. For the case where the coupling constants satisfy the relation lμG=1+ 2lμE, electrically charged analogues to these solutions exist. These solutions are asymptotically AdS3 in the strongest sense, and correspond to a logarithmic branch of self-dual solutions previously discussed in the literature. © 2009 The American Physical Society. Fil:Garbarz, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v79_n4_p_Garbarz http://hdl.handle.net/20.500.12110/paper_15507998_v79_n4_p_Garbarz
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We study exact solutions to cosmological topologically massive gravity coupled to topologically massive electrodynamics at special values of the coupling constants. For the particular case of the so-called chiral point lμG=1, vacuum solutions (with vanishing gauge field) are exhibited. These correspond to a one-parameter deformation of general relativity solutions, and are continuously connected to the extremal Bañados- Teitelboim-Zanelli black hole with bare constants J=-lM. At the chiral point this extremal Bañados-Teitelboim-Zanelli black hole turns out to be massless, and thus it can be regarded as a kind of ground state. Although the solution is not asymptotically AdS3 in the sense of Brown-Henneaux boundary conditions, it does obey the weakened asymptotic recently proposed by Grumiller and Johansson. Consequently, we discuss the holographic computation of the conserved charges in terms of the stress tensor in the boundary. For the case where the coupling constants satisfy the relation lμG=1+ 2lμE, electrically charged analogues to these solutions exist. These solutions are asymptotically AdS3 in the strongest sense, and correspond to a logarithmic branch of self-dual solutions previously discussed in the literature. © 2009 The American Physical Society.
author Garbarz, Alan Nicolás
Giribet, Gastón Enrique
spellingShingle Garbarz, Alan Nicolás
Giribet, Gastón Enrique
Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants
author_facet Garbarz, Alan Nicolás
Giribet, Gastón Enrique
author_sort Garbarz, Alan Nicolás
title Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants
title_short Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants
title_full Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants
title_fullStr Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants
title_full_unstemmed Asymptotically AdS3 solutions to topologically massive gravity at special values of the coupling constants
title_sort asymptotically ads3 solutions to topologically massive gravity at special values of the coupling constants
publishDate 2009
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v79_n4_p_Garbarz
http://hdl.handle.net/20.500.12110/paper_15507998_v79_n4_p_Garbarz
work_keys_str_mv AT garbarzalannicolas asymptoticallyads3solutionstotopologicallymassivegravityatspecialvaluesofthecouplingconstants
AT giribetgastonenrique asymptoticallyads3solutionstotopologicallymassivegravityatspecialvaluesofthecouplingconstants
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