THERMODYNAMICS OF SCHWARZSCHILD–(ANTI-)DE SITTER BLACK HOLES WITH ACCOUNT OF QUANTUM CORRECTIONS

Author:

NOJIRI SHIN'ICHI1,ODINTSOV SERGEI D.2

Affiliation:

1. Department of Mathematics and Physics, National Defence Academy, Hashirimizu Yokosuka 239, Japan

2. Tomsk Pedagogical University, 634041 Tomsk, Russia

Abstract

We discuss the quantum corrections to thermodynamics (and geometry) of S(A)dS BH's using large N one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found that the temperature, mass and entropy with account of quantum effects for multiply horizon SdS BH and SAdS BH which also gives the corresponding expressions for their limits: Schwarzschild and de Sitter spaces. In the last case one can talk about quantum correction to the entropy of an expanding universe. The anomaly induced action under discussion corresponds to 4d formulation (s-wave approximation, 4d quantum matter is a minimal one) as well as 2d formulation (complete effective action, 2d quantum matter is a dilaton coupled one). Hence, most of the results are given for the same gravitational background with interpretation as 4d quantum corrected BH or 2d quantum corrected dilatonic BH. Quantum aspects of thermodynamics of 4d 't Hooft BH model are also considered.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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