Quantum statistical relation for black holes in nonlinear electrodynamics coupled to EinsteinGaussBonnet AdS gravity
Abstract
We consider curvaturesquared corrections to EinsteinHilbert gravity action in the form of a GaussBonnet term in D>4 dimensions. In this theory, we study the thermodynamics of charged static black holes with antide Sitter (AdS) asymptotics, and whose electric field is described by nonlinear electrodynamics. These objects have received considerable attention in recent literature on gravity/gauge dualities. It is wellknown that, within the framework of antide Sitter/conformal field theory (AdS/CFT) correspondence, there exists a nonvanishing Casimir contribution to the internal energy of the system, manifested as the vacuum energy for global AdS spacetime in odd dimensions. Because of this reason, we derive a quantum statistical relation directly from the Euclidean action and not from the integration of the first law of thermodynamics. To this end, we employ a backgroundindependent regularization scheme which consists, in addition to the bulk action, of counterterms that depend on both extrinsic and intrinsic curvatures of the boundary (Kounterterm series). This procedure results in a consistent inclusion of the vacuum energy and chemical potential in the thermodynamic description for EinsteinGaussBonnet AdS gravity regardless of the explicit form of the nonlinear electrodynamics Lagrangian.
 Authors:

 Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso (Chile)
 Publication Date:
 OSTI Identifier:
 21537537
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 83; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.83.064017; (c) 2011 American Institute of Physics; Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; ASYMPTOTIC SOLUTIONS; BLACK HOLES; CASIMIR EFFECT; CONFORMAL INVARIANCE; CORRECTIONS; DUALITY; ELECTRIC FIELDS; ELECTRODYNAMICS; EUCLIDEAN SPACE; GENERAL RELATIVITY THEORY; GRAVITATION; HILBERT SPACE; LAGRANGIAN FUNCTION; MANYDIMENSIONAL CALCULATIONS; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; SIMULATION; SPACETIME; THERMODYNAMICS; BANACH SPACE; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; RELATIVITY THEORY; RIEMANN SPACE; SPACE
Citation Formats
Miskovic, Olivera, and Olea, Rodrigo. Quantum statistical relation for black holes in nonlinear electrodynamics coupled to EinsteinGaussBonnet AdS gravity. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.83.064017.
Miskovic, Olivera, & Olea, Rodrigo. Quantum statistical relation for black holes in nonlinear electrodynamics coupled to EinsteinGaussBonnet AdS gravity. United States. doi:10.1103/PHYSREVD.83.064017.
Miskovic, Olivera, and Olea, Rodrigo. Tue .
"Quantum statistical relation for black holes in nonlinear electrodynamics coupled to EinsteinGaussBonnet AdS gravity". United States. doi:10.1103/PHYSREVD.83.064017.
@article{osti_21537537,
title = {Quantum statistical relation for black holes in nonlinear electrodynamics coupled to EinsteinGaussBonnet AdS gravity},
author = {Miskovic, Olivera and Olea, Rodrigo},
abstractNote = {We consider curvaturesquared corrections to EinsteinHilbert gravity action in the form of a GaussBonnet term in D>4 dimensions. In this theory, we study the thermodynamics of charged static black holes with antide Sitter (AdS) asymptotics, and whose electric field is described by nonlinear electrodynamics. These objects have received considerable attention in recent literature on gravity/gauge dualities. It is wellknown that, within the framework of antide Sitter/conformal field theory (AdS/CFT) correspondence, there exists a nonvanishing Casimir contribution to the internal energy of the system, manifested as the vacuum energy for global AdS spacetime in odd dimensions. Because of this reason, we derive a quantum statistical relation directly from the Euclidean action and not from the integration of the first law of thermodynamics. To this end, we employ a backgroundindependent regularization scheme which consists, in addition to the bulk action, of counterterms that depend on both extrinsic and intrinsic curvatures of the boundary (Kounterterm series). This procedure results in a consistent inclusion of the vacuum energy and chemical potential in the thermodynamic description for EinsteinGaussBonnet AdS gravity regardless of the explicit form of the nonlinear electrodynamics Lagrangian.},
doi = {10.1103/PHYSREVD.83.064017},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {3}
}