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  Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space

Miskovic, O., & Olea, R. (2011). Conserved charges for black holes in Einstein-Gauss-Bonnet gravity coupled to nonlinear electrodynamics in AdS space. Physical Review D, 83(2): 024011. doi:10.1103/PhysRevD.83.024011.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-10A2-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-10A3-0
Genre: Journal Article

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1009.5763 (Preprint), 307KB
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 Creators:
Miskovic, Olivera1, Author
Olea, Rodrigo, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
 Abstract: Motivated by possible applications within the framework of anti-de Sitter gravity/Conformal Field Theory (AdS/CFT) correspondence, charged black holes with AdS asymptotics, which are solutions to Einstein-Gauss-Bonnet gravity in D dimensions, and whose electric field is described by a nonlinear electrodynamics (NED) 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 NED Lagrangian, in any dimension D and for arbitrary positive values of Gauss-Bonnet coupling. In particular, this procedure reproduces the black hole metric in Born-Infeld and conformally invariant electrodynamics previously found in the literature. Altogether, it extends to D>4 the four-dimensional solution obtained by Soleng in logarithmic electrodynamics, which comes from vacuum polarization effects. Fall-off 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 background-independent regularization of the gravitational action based on the addition of counterterms which are a given polynomial in the intrinsic and extrinsic curvatures.

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 Dates: 2010-09-282010-12-262011
 Publication Status: Published in print
 Pages: 30 pages, no figures; a few references added; final version for PRD
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1009.5763
DOI: 10.1103/PhysRevD.83.024011
URI: http://arxiv.org/abs/1009.5763
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 83 (2) Sequence Number: 024011 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258