skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum statistical relation for black holes in nonlinear electrodynamics coupled to Einstein-Gauss-Bonnet AdS gravity

Abstract

We consider curvature-squared corrections to Einstein-Hilbert gravity action in the form of a Gauss-Bonnet term in D>4 dimensions. In this theory, we study the thermodynamics of charged static black holes with anti-de 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 well-known that, within the framework of anti-de 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 background-independent 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 Einstein-Gauss-Bonnet AdS gravity regardless of the explicit form of the nonlinear electrodynamics Lagrangian.

Authors:
;  [1]
  1. 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 0556-2821
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; MANY-DIMENSIONAL CALCULATIONS; NONLINEAR PROBLEMS; QUANTUM FIELD THEORY; SIMULATION; SPACE-TIME; 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 Einstein-Gauss-Bonnet 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 Einstein-Gauss-Bonnet 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 Einstein-Gauss-Bonnet 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 Einstein-Gauss-Bonnet AdS gravity},
author = {Miskovic, Olivera and Olea, Rodrigo},
abstractNote = {We consider curvature-squared corrections to Einstein-Hilbert gravity action in the form of a Gauss-Bonnet term in D>4 dimensions. In this theory, we study the thermodynamics of charged static black holes with anti-de 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 well-known that, within the framework of anti-de 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 background-independent 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 Einstein-Gauss-Bonnet 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 = {0556-2821},
number = 6,
volume = 83,
place = {United States},
year = {2011},
month = {3}
}