Dilaton black holes in grand canonical ensemble near the extreme state

Details Dilaton black holes in grand canonical ensemble near the extreme state Dilaton black holes in grand canonical ensemble near the extreme state

1997-07-08

arxiv.org/abs/gr-qc/9707019v2

Phys.Rev. D56 (1997) 6695-6697

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.56.6695

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.

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