Entropy, topology of two-dimensional extreme black holes

Abstract

Through direct thermodynamic calculations we have shown that different classical entropies of two-dimensional extreme black holes appear due to two different treatments, namely Hawking's treatment and Zaslavskii's treatment. Geometrical and topological properties corresponding to these different treatments are investigated. Quantum entropies of the scalar fields on the backgrounds of these black holes concerning different treatments are also exhibited. Different results of entropy and geometry lead us to argue that there are two kinds of extreme black holes in the nature. Explanation of black hole phase transition has also been given from the quantum point of view.

16 pages, Latex, accepted for publication on PRD

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Cited by in corpus (7)

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• Entropy of an extremal electrically charged thin shell and the extremal black hole
• Entropy of extremal black holes: horizon limits through charged thin shells, a unified approach
• Evidence for a null entropy of extremal black holes
• Geometry and topology of two kinds of extreme Reissner-Nordstr$\ddot{o}$m-anti-de Sitter black holes
• Entropy of extreme three-dimensional charged black holes
• Classical and Quantum Thermodynamic Systems in Curved Spacetime