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Phys. Rev. D 59, 104006 (1999) [8 pages]

Entropy and topology of two-dimensional extreme black holes

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Bin Wang*
High Energy Section, International Center for Theoretical Physics, P.O. Box 586, 34100 Trieste, Italy;
China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, People’s Republic of China;
Department of Physics, Shanghai Normal University, Shanghai 200234, People’s Republic of China

Ru-Keng Su†
China Center of Advanced Science and Technology (World Laboratory), P.O. Box 8730, Beijing 100080, People’s Republic of China
Department of Physics, Fudan University, Shanghai 200433, People’s Republic of China

Received 17 November 1998; published 29 March 1999

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 nature. An explanation of black hole phase transition has also been given from the quantum point of view.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.104006
DOI:
10.1103/PhysRevD.59.104006
PACS:
04.70.Dy, 04.20.Gz, 04.62.+v

*Email address: binwang@srcap.stc.sh.cn

†Email address: rksu@fudan.ac.cn

 
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