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Phys. Rev. D 64, 104009 (2001) [10 pages]

Equation of state for a classical gas of BPS black holes

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Nahomi Kan*
Graduate School of Science and Engineering, Yamaguchi University, Yoshida, Yamaguchi-shi, Yamaguchi 753-8512, Japan

Takuya Maki†
Japan Woman’s College of Physical Education, Kita-karasuyama, Setagaya, Tokyo 157, Japan

Kiyoshi Shiraishi‡
Graduate School of Science and Engineering, Yamaguchi University, Yoshida, Yamaguchi-shi, Yamaguchi 753-8512, Japan
Faculty of Science, Yamaguchi University, Yoshida, Yamaguchi-shi, Yamaguchi 753-8512, Japan

Received 14 May 2001; published 16 October 2001

A point-particle treatment for the statistical mechanics of Bogomol’nyi-Prasad-Sommerfield (BPS) black holes in Einstein-Maxwell-dilaton theory is developed. Because of the absence of the static potential, the canonical partition function for N BPS black holes can be expressed by the volume of the moduli space for them. We estimate the equation of state for a classical gas of BPS black holes by the Padé approximation and find that the result agrees with the one obtained by the mean-field approximation.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.64.104009
DOI:
10.1103/PhysRevD.64.104009
PACS:
04.40.Nr, 04.50.+h, 05.20.-y, 64.10.+h

*Email address: b1834@sty.cc.yamaguchi-u.ac.jp

†Email address: maki@clas.kitasato-u.ac.jp

‡Email address: shiraish@sci.yamaguchi-u.ac.jp

 
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