Entropy of semiclassical 2D dilaton black holes away from the Hawking temperature

Details Entropy of semiclassical 2D dilaton black holes away from the Hawking temperature Entropy of semiclassical 2D dilaton black holes away from the Hawking temperature

2002-08-28

arxiv.org/abs/hep-th/0208206v1

Mod.Phys.Lett. A17 (2002) 1775-1782

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, ReVTEX 3.0. Accepted for publication in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732302008198

Recently we showed that in semiclassical 2D dilaton gravity the regularity of a black hole horizon may be compatible with divergencies of Polyakov-Liouville stresses on it, the temperature deviating from its Hawking value. This makes the question about thermal properties of such solutions non-trivial. We demonstrate that, adding to gravitation-dilaton part of the action certain counterterms, which diverge on the horizon but are finite outside it, one may achieve finiteness of the effective gravitation-dilaton couplings on the horizon. This gives for the entropy S the Bekenstein - Hawking value in the nonextreme case and S=0 in the extreme one similarly to what happens to ''standard '' black holes.

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