Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation

Abstract

We study the thermodynamic properties of a black hole and the Hawking-Page phase transition in the asymptotically anti--de Sitter spacetime in the dilatonic Einstein-Gauss-Bonnet theory of gravitation. We show how the higher-order curvature terms can influence both the thermodynamic properties and the phase transition. We evaluate both heat capacity and free energy difference to determine the local and global thermodynamic stabilities, respectively. We find that the phase transition occurs from the thermal anti--de Sitter to a small spherical black hole geometry and occurs to a hyperbolic black hole geometry in the (dilatonic) Einstein-Gauss-Bonnet theory of gravitation unlike those in Einstein's theory of gravitation.

24 pages, 8 figures, errors corrected, references added, version published in PRD

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• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• WIMPs in Dilatonic Einstein Gauss-Bonnet Cosmology
• Exact helicoidal and catenoidal solutions in Einstein-Maxwell theory
• Gauss-Bonnet Cosmology: large-temperature behaviour and bounds from Gravitational Waves
• Hairy black holes in dilatonic Einstein-Gauss-Bonnet theory
• NUT Solutions in Einstein-Maxwell-scalar-Gauss-Bonnet Gravity
• Phase transition for a black hole with matter fields and the relation with the Lyapunov exponent