Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-14
Phys.Rev.D70:124034,2004
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 18 pages with 4 eps figures, v2: Revtex, 11 pages with 4 eps figures, to appear in PRD
Scientific paper
10.1103/PhysRevD.70.124034
We 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.
Cai Rong-Gen
Pang Da-Wei
Wang Anzhong
No associations
LandOfFree
Born-Infeld Black Holes in (A)dS Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Born-Infeld Black Holes in (A)dS Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Born-Infeld Black Holes in (A)dS Spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-664281