Dilaton black holes in grand canonical ensemble near the extreme state

Abstract

Dilaton black holes with a pure electric charge are considered in a framework of a grand canonical ensemble near the extreme state. It is shown that there exists such a subset of boundary data that the Hawking temperature smoothly goes to zero to an infinite value of a horizon radius but the horizon area and entropy are finite and differ from zero. In string theory the existence of a horizon in the extreme limit is due to the finiteness of a system only.

8 pages, RevTex 3.0. Presentation improved, discussion on metrics in string theory simplified. To be published in Phys.Rev.D

References in corpus (1)

• Geometry of nonextreme black holes near the extreme state

Cited by in corpus (8)

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• Nonextreme black holes near the extreme state and acceleration horizons: thermodynamics and quantum-corrected geometry
• Entropy, topology of two-dimensional extreme black holes
• Quantum entropy of two-dimensional extreme charged dilaton black hole
• Solution Independent Analysis of Black Hole Entropy in Brick Wall Model
• Entropy of extreme three-dimensional charged black holes