Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-02-14
Phys.Rev.D77:124048,2008
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, no figures; additional comments on extreme black hole case, a few references added; final version for PRD
Scientific paper
10.1103/PhysRevD.77.124048
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.
Miskovic Olivera
Olea Rodrigo
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