Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant
Abstract
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.
Keywords
Cite
@article{arxiv.0802.2081,
title = {Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant},
author = {Olivera Miskovic and Rodrigo Olea},
journal= {arXiv preprint arXiv:0802.2081},
year = {2008}
}
Comments
29 pages, no figures; additional comments on extreme black hole case, a few references added; final version for PRD