Thermodynamics of charged anti-de Sitter black holes in canonical ensemble

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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LaTeX, 10 pages; minor post-publication changes

Scientific paper

10.1016/S0370-2693(99)00689-9

As in the grand canonical treatment of Reissner - Nordstr\"{o}m black holes
in anti-de Sitter spacetime, the canonical ensemble formulation also shows that
non-extremal black holes tend to have lower action than extremal ones. However,
some small non-extremal black holes have higher action, leading to the
possibility of transitions between non-extremal and extremal black holes.

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