Thermodynamics of phase transitions in AdS black holes

Details Thermodynamics of phase transitions in AdS black holes Thermodynamics of phase transitions in AdS black holes

2011-06-20

arxiv.org/abs/1106.3877v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 8 pages, 1 figure; v2: basic results unchanged, title and text modified with new interpretations

Scientific paper

Based on fundamental concepts of thermodynamics we examine phase transitions in black holes defined in Anti-de Sitter (AdS) spaces. The examples of Reissner-Nordstrom (RN) AdS and Kerr AdS black holes are discussed. Considering these black holes as grand-canonical ensembles we exhibit and classify a phase transition defined by the discontinuity of specific heat as well as volume expansion coefficient and compressibility. Using standard Ehrenfest's scheme we prove that such phase transitions between the `smaller' and `larger' mass black holes are second order. We also provide the explicit expressions for the critical mass and critical temperature. Also, the distinction between this phase transition with the well known Hawking-Page transition is highlighted.

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