Conserved charges for black holes in EinsteinGaussBonnet gravity coupled to nonlinear electrodynamics in AdS space
Abstract
Motivated by possible applications within the framework of antide Sitter gravity/conformal field theory correspondence, charged black holes with AdS asymptotics, which are solutions to EinsteinGaussBonnet gravity in D dimensions, and whose electric field is described by nonlinear electrodynamics are studied. For a topological static black hole ansatz, the field equations are exactly solved in terms of the electromagnetic stress tensor for an arbitrary nonlinear electrodynamic Lagrangian in any dimension D and for arbitrary positive values of GaussBonnet coupling. In particular, this procedure reproduces the black hole metric in BornInfeld and conformally invariant electrodynamics previously found in the literature. Altogether, it extends to D>4 the fourdimensional solution obtained by Soleng in logarithmic electrodynamics, which comes from vacuum polarization effects. Falloff conditions for the electromagnetic field that ensure the finiteness of the electric charge are also discussed. The black hole mass and vacuum energy as conserved quantities associated to an asymptotic timelike Killing vector are computed using a backgroundindependent regularization of the gravitational action based on the addition of counterterms which are a given polynomial in the intrinsic and extrinsic curvatures.
 Authors:

 Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso (Chile) and MaxPlanckInstitut fuer Gravitationsphysik, AlbertEinsteinInstitut, Am Muehlenberg 1, 14476 Golm (Germany)
 Publication Date:
 OSTI Identifier:
 21503958
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 83; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.83.024011; (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; BORNINFELD THEORY; CONFORMAL INVARIANCE; COUPLING; ELECTRIC CHARGES; ELECTRIC FIELDS; ELECTRODYNAMICS; ELECTROMAGNETIC FIELDS; EXACT SOLUTIONS; FIELD EQUATIONS; FOURDIMENSIONAL CALCULATIONS; GRAVITATION; LAGRANGIAN FUNCTION; MASS; METRICS; QUANTUM FIELD THEORY; SIMULATION; VACUUM POLARIZATION; EQUATIONS; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; SPACE
Citation Formats
Miskovic, Olivera, Olea, Rodrigo, and Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso. Conserved charges for black holes in EinsteinGaussBonnet gravity coupled to nonlinear electrodynamics in AdS space. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVD.83.024011.
Miskovic, Olivera, Olea, Rodrigo, & Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso. Conserved charges for black holes in EinsteinGaussBonnet gravity coupled to nonlinear electrodynamics in AdS space. United States. doi:10.1103/PHYSREVD.83.024011.
Miskovic, Olivera, Olea, Rodrigo, and Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso. Sat .
"Conserved charges for black holes in EinsteinGaussBonnet gravity coupled to nonlinear electrodynamics in AdS space". United States. doi:10.1103/PHYSREVD.83.024011.
@article{osti_21503958,
title = {Conserved charges for black holes in EinsteinGaussBonnet gravity coupled to nonlinear electrodynamics in AdS space},
author = {Miskovic, Olivera and Olea, Rodrigo and Instituto de Fisica, Pontificia Universidad Catolica de Valparaiso, Casilla 4059, Valparaiso},
abstractNote = {Motivated by possible applications within the framework of antide Sitter gravity/conformal field theory correspondence, charged black holes with AdS asymptotics, which are solutions to EinsteinGaussBonnet gravity in D dimensions, and whose electric field is described by nonlinear electrodynamics are studied. For a topological static black hole ansatz, the field equations are exactly solved in terms of the electromagnetic stress tensor for an arbitrary nonlinear electrodynamic Lagrangian in any dimension D and for arbitrary positive values of GaussBonnet coupling. In particular, this procedure reproduces the black hole metric in BornInfeld and conformally invariant electrodynamics previously found in the literature. Altogether, it extends to D>4 the fourdimensional solution obtained by Soleng in logarithmic electrodynamics, which comes from vacuum polarization effects. Falloff conditions for the electromagnetic field that ensure the finiteness of the electric charge are also discussed. The black hole mass and vacuum energy as conserved quantities associated to an asymptotic timelike Killing vector are computed using a backgroundindependent regularization of the gravitational action based on the addition of counterterms which are a given polynomial in the intrinsic and extrinsic curvatures.},
doi = {10.1103/PHYSREVD.83.024011},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 2,
volume = 83,
place = {United States},
year = {2011},
month = {1}
}