Thermodynamic instability of charged dilaton black holes in AdS spaces

Abstract

We study thermodynamic instability of a class of $(n+1)$-dimensional charged dilaton black holes in the background of anti-de Sitter universe. We calculate the quasilocal mass of the AdS dilaton black hole through the use of the subtraction method of Brown and York. We find a Smarr-type formula and perform a stability analysis in the canonical ensemble and disclose the effect of the dilaton field on the thermal stability of the solutions. Our study shows that the solutions are thermally stable for small $\alpha$, while for large $\alpha$ the system has an unstable phase, where $\alpha$ is a coupling constant between the dilaton and matter field.

14 pages, 6 figures

References in corpus (15)

• Topological Black Holes in Lovelock-Born-Infeld Gravity
• Thermodynamics of charged topological dilaton black holes
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Topological Born-Infeld-dilaton black holes
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-Born-Infeld Gravity
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential
• Magnetic Branes in $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity
• Higher dimensional slowly rotating dilaton black holes in AdS spacetime
• Charged rotating dilaton black strings in AdS spaces
• Stability of Topological Black Holes
• Thermodynamics of Charged Brans-Dicke AdS Black Holes
• Magnetic dilaton strings in anti-de Sitter spaces

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