Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant

Journal Article · Sun Jun 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.124048· OSTI ID:21214875

Miskovic, Olivera; Olea, Rodrigo ^[1]

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1. Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso (Chile)

We study the thermodynamics associated to topological black hole solutions of AdS gravity coupled to nonlinear electrodynamics (Born-Infeld) in any dimension, using a background-independent regularization prescription for the Euclidean action given by boundary terms, which explicitly depend on the extrinsic curvature (Kounterterms series). A finite action principle leads to the correct definition of thermodynamic variables as Noether charges, which satisfy a Smarr-like relation. In particular, for the odd-dimensional case, a consistent thermodynamic description is achieved if the internal energy of the system includes the vacuum energy for AdS spacetime.

• OSTI ID: 21214875
• Journal Information: Physical Review. D, Particles Fields, Vol. 77, Issue 12; Other Information: DOI: 10.1103/PhysRevD.77.124048; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
BORN-INFELD THEORY
COSMOLOGICAL CONSTANT
DE SITTER GROUP
ELECTRODYNAMICS
EUCLIDEAN SPACE
GRAVITATION
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
SPACE-TIME
THERMODYNAMICS