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

Abstract

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.

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

References in corpus (1)

• Thermodynamics of black holes with an infinite effective area of a horizon

Cited by in corpus (3)

• Regular self-consistent geometries with infinite quantum backreaction in 2D dilaton gravity and black hole thermodynamics: unfamiliar features of familiar models
• Exactly solvable models in 2D semiclassical dilaton gravity and extremal black holes
• Two-dimensional semiclassical static black holes: Finite-mass correction to the Hawking temperature and outflux