Equation of state for a classical gas of BPS black holes

Nahomi Kan; Takuya Maki; Kiyoshi Shiraishi

doi:10.1103/PhysRevD.64.104009

Equation of state for a classical gas of BPS black holes

Nahomi Kan, Takuya Maki, and Kiyoshi Shiraishi

Phys. Rev. D 64, 104009 – Published 16 October 2001

Abstract

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.

Received 14 May 2001

DOI:https://doi.org/10.1103/PhysRevD.64.104009

Authors & Affiliations

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

^*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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Vol. 64, Iss. 10 — 15 November 2001

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covering particles, fields, gravitation, and cosmology