Asymptotically AdS{sub 3} solutions to topologically massive gravity at special values of the coupling constants

Journal Article · Sun Feb 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.044036· OSTI ID:21260016

Garbarz, Alan; Giribet, Gaston; Vasquez, Yerko ^[1]

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1. Departamento de Fisica, Universidad de Buenos Aires, Ciudad Universitaria, Pabellon I, 1428 Buenos Aires (Argentina)

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 l{mu}{sub G}=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 Banados-Teitelboim-Zanelli black hole with bare constants J=-lM. At the chiral point this extremal Banados-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 AdS{sub 3} 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 l{mu}{sub G}=1+2l{mu}{sub E}, electrically charged analogues to these solutions exist. These solutions are asymptotically AdS{sub 3} in the strongest sense, and correspond to a logarithmic branch of self-dual solutions previously discussed in the literature.

• OSTI ID: 21260016
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 4 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BLACK HOLES
BOUNDARY CONDITIONS
CHIRALITY
COSMOLOGICAL MODELS
COUPLING CONSTANTS
DE SITTER GROUP
DEFORMATION
ELECTRODYNAMICS
EXACT SOLUTIONS
GENERAL RELATIVITY THEORY
GRAVITATION
GROUND STATES
HOLOGRAPHY