Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-13
Int.J.Mod.Phys.A15:989-1010,2000
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX file, 28 pages, some misprints are corrected
Scientific paper
10.1142/S0217751X00000483
We discuss the quantum corrections to thermodynamics (and geometry) of S(A)dS BHs using large $N$ one-loop anomaly induced effective action for dilaton coupled matter (scalars and spinors). It is found the temperature, mass and entropy with account of quantum effects for multiply horizon SdS BH and SAdS BH what also gives the corresponding expressions for their limits: Schwarzschild and de Sitter spaces. In the last case one can talk about quantum correction to entropy of expanding Universe. The anomaly induced action under discussion corresponds to 4d formulation (s-wave approximation, 4d quantum matter is minimal one) as well as 2d formulation (complete effective action, 2d quantum matter is dilaton coupled one). Hence, most of 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.
Nojiri Shin'ichi
Odintsov Sergei D.
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