Equation of state for a classical gas of BPS black holes

Details Equation of state for a classical gas of BPS black holes Equation of state for a classical gas of BPS black holes

2001-04-14

arxiv.org/abs/gr-qc/0104044v2

Phys.Rev. D64 (2001) 104009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 4 figures. Minor corrections

Scientific paper

10.1103/PhysRevD.64.104009

A point particle treatment to the statistical mechanics of 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 Pad\'e approximation and find that the result agrees with the one obtained by the mean-field approximation.

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