Thermodynamical properties of topological Born-Infeld-dilaton black holes

Abstract

We examine the $(n+1)$-dimensional $(n\ge 3)$ action in which gravity is coupled to the Born-Infeld nonlinear electrodynamic and a dilaton field. We construct a new $(n+1)$-dimensional analytic solution of this theory in the presence of Liouville-type dilaton potentials. These solutions which describe charged topological dilaton black holes with nonlinear electrodynamics, have unusual asymptotics. They are neither asymptotically flat nor (anti)-de Sitter. The event horizons of these black holes can be an $(n-1)$-dimensional positive, zero or negative constant curvature hypersurface. We also analyze thermodynamics and stability of these solutions and disclose the effect of the dilaton and Born-Infeld fields on the thermal stability in the canonical ensemble.

18 pages, 15 figures; IJMPD (2008) to appear

References in corpus (8)

• Thermodynamics of charged topological dilaton black holes
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity
• Asymptotically nonflat Einstein-Born-Infeld-dilaton black holes with Liouville-type potential
• Magnetic Branes in $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity
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Cited by in corpus (7)

• Dilaton black holes coupled to nonlinear electrodynamic field
• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
• Phase transition, Quasinormal modes and Hawking radiation of Schwarzschild black hole in Quintessence field
• Critical behavior of Born-Infeld dilaton black holes
• Black hole phase transitions in Hořava-Lifshitz gravity
• Slowly rotating Einstein-Maxwell-dilaton black hole and some aspects of its thermodynamics
• Three-dimensional black holes with scalar hair coupled to a Maxwell-like electrodynamics