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Cai, RG; Pang, DW; Wang, A; Cai, RG , Baylor Univ, Dept Phys, CASPER, Waco, TX 76798 USA.
Born-Infeld black holes in (A)dS spaces
Source PublicationPHYSICAL REVIEW D
KeywordCardy-verlinde Formula Higher-derivative Gravity De-sitter Space Cosmological Constant Gravitational Collapse General-relativity Desitter Spaces Field-theories Thermodynamics Supergravity
AbstractWe study some exact solutions in a D(greater than or equal to4)-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 nonlinear, 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.
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Corresponding AuthorCai, RG , Baylor Univ, Dept Phys, CASPER, Waco, TX 76798 USA.
Recommended Citation
GB/T 7714
Cai, RG,Pang, DW,Wang, A,et al. Born-Infeld black holes in (A)dS spaces[J]. PHYSICAL REVIEW D,2004,70(12):-.
APA Cai, RG,Pang, DW,Wang, A,&Cai, RG , Baylor Univ, Dept Phys, CASPER, Waco, TX 76798 USA..(2004).Born-Infeld black holes in (A)dS spaces.PHYSICAL REVIEW D,70(12),-.
MLA Cai, RG,et al."Born-Infeld black holes in (A)dS spaces".PHYSICAL REVIEW D 70.12(2004):-.
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