Born-Infeld black holes in (A)dS spaces

By R. Cai, Da-Wei Pang, Anzhong Wang. 2004

222 citations recorded by the source corpus.

We 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/ecf7731e3ae72a73f184fece8ec0b0e4e3e1b73f

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Citations in the corpus

Effective holographic theories for low-temperature condensed matter systems (2010, background): “In this context, the relevant charged solution is the AdS-DBI-RN solutions first discussed in [38, 39].”
Magnetically charged black holes from non-linear electrodynamics and the Event Horizon Telescope (2019, background): “instance, within BI NLED, an incomplete list of works studying BH solutions can be found in [122–136].”
Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization (2012, background): “In Schwarzschild-like coordinates the metric and the electromagnetic field of the spherically symmetric solution read [22–24]”