On the thermodynamics of hairy black holes

Abstract

We investigate the thermodynamics of a general class of exact 4-dimensional asymptotically Anti-de Sitter hairy black hole solutions and show that, for a fixed temperature, there are small and large hairy black holes similar to the Schwarzschild-AdS black hole. The large black holes have positive specific heat and so they can be in equilibrium with a thermal bath of radiation at the Hawking temperature. The relevant thermodynamic quantities are computed by using the Hamiltonian formalism and counterterm method. We explicitly show that there are first order phase transitions similar to the Hawking-Page phase transition.

arXiv comment12 pages, 4 figures, several typos corrected

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Cited by in corpus (10)

• Trace Anomaly and Counterterms in Designer Gravity
• Mass of asymptotically anti-de Sitter hairy spacetimes
• The different phases of hairy black holes in AdS5 space
• Hairy Black Hole Chemistry
• Hairy AdS Solitons
• Phase transitions of neutral planar hairy AdS black holes
• The Non-integrable Mass and the Scalar Charge
• Thermodynamics of Asymptotically Flat Dyonic Black Holes
• Agujeros Negros con Pelo y Dualidad AdS/CFT
• Periapsis shift and deflection of light by hairy black holes