Born-Infeld black holes in (A)dS spaces

Journal Article · Wed Dec 15 04:00:00 EST 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.124034· OSTI ID:20698272

Ronggen, Cai; Dawei, Pang; Anzhong, Wang ^[1]

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1. CASPER, Department of Physics, Baylor University, Waco, TX76798-7316 (United States)

We study some exact solutions in a D({>=}4)-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.

• OSTI ID: 20698272
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
BORN-INFELD THEORY
COSMOLOGICAL CONSTANT
COSMOLOGY
DE SITTER GROUP
ELECTRODYNAMICS
ENTROPY
EXACT SOLUTIONS
NONLINEAR PROBLEMS
SPACE-TIME
THERMODYNAMICS
TWO-DIMENSIONAL CALCULATIONS