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Title: Born-Infeld black holes in (A)dS spaces

Abstract

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.

Authors:
; ;  [1]
  1. CASPER, Department of Physics, Baylor University, Waco, TX76798-7316 (United States)
Publication Date:
OSTI Identifier:
20698272
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.70.124034; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Ronggen, Cai, Dawei, Pang, Anzhong, Wang, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, and CASPER, Department of Physics, Baylor University, Waco, TX76798-7316. Born-Infeld black holes in (A)dS spaces. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.124034.
Ronggen, Cai, Dawei, Pang, Anzhong, Wang, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, & CASPER, Department of Physics, Baylor University, Waco, TX76798-7316. Born-Infeld black holes in (A)dS spaces. United States. https://doi.org/10.1103/PhysRevD.70.124034
Ronggen, Cai, Dawei, Pang, Anzhong, Wang, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080, and CASPER, Department of Physics, Baylor University, Waco, TX76798-7316. Wed . "Born-Infeld black holes in (A)dS spaces". United States. https://doi.org/10.1103/PhysRevD.70.124034.
@article{osti_20698272,
title = {Born-Infeld black holes in (A)dS spaces},
author = {Ronggen, Cai and Dawei, Pang and Anzhong, Wang and Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080 and Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing 100080 and CASPER, Department of Physics, Baylor University, Waco, TX76798-7316},
abstractNote = {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.},
doi = {10.1103/PhysRevD.70.124034},
url = {https://www.osti.gov/biblio/20698272}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 70,
place = {United States},
year = {2004},
month = {12}
}