Born-Infeld Black Holes in (A)dS Spaces

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dc.creatorCai, Rong-Gen
dc.creatorPang, Da-Wei
dc.creatorWang, Anzhong
dc.date2004-10-14
dc.date2004-12-08
dc.date.accessioned2026-07-07T10:50:21Z
dc.date.available2026-07-07T10:50:21Z
dc.descriptionWe study some exact solutions in a $D(\ge4)$-dimensional Einstein-Born-Infeld theory with a cosmological constant. These solutions are asymptotically de Sitter or anti-de Sitter, depending on the sign of the cosmological constant. Black hole horizon and cosmological horizon in these spacetimes can be a positive, zero or negative constant curvature hypersurface. We discuss the thermodynamics associated with black hole horizon and cosmological horizon. In particular we find that for the Born-Infeld black holes with Ricci flat or hyperbolic horizon in AdS space, they are always thermodynamically stable, and that for the case with a positive constant curvature, there is a critical value for the Born-Infeld parameter, above which the black hole is also always thermodynamically stable, and below which a unstable black hole phase appears. In addition, we show that although the Born-Infeld electrodynamics is non-linear, both black hole horizon entropy and cosmological horizon entropy can be expressed in terms of the Cardy-Verlinde formula. We also find a factorized solution in the Einstein-Born-Infeld theory, which is a direct product of two constant curvature spaces: one is a two-dimensional de Sitter or anti-de Sitter space, the other is a ($D-2$)-dimensional positive, zero or negative constant curvature space.
dc.descriptionLatex, 18 pages with 4 eps figures, v2: Revtex, 11 pages with 4 eps figures, to appear in PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0410158
dc.identifierhttp://arxiv.org/abs/hep-th/0410158
dc.identifierPhys.Rev.D70:124034,2004
dc.identifierdoi:10.1103/PhysRevD.70.124034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184509
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleBorn-Infeld Black Holes in (A)dS Spaces
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