Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-02-23
Int.J.Mod.Phys.A14:1293-1304,1999
Physics
High Energy Physics
High Energy Physics - Theory
Latex file, 22 pages
Scientific paper
10.1142/S0217751X9900066X
We study the one-loop effective action for $N$ 4D conformally invariant scalars on the spherically symmetric background. The main part of effective action is given by integration of 4D conformal anomaly. This effective action (in large $N$ approximation and partial curvature expansion) is applied to investigate the quantum evolution of Schwarzschild-de Sitter (SdS) black holes of maximal mass. We find that the effect (recently discovered by Bousso and Hawking for $N$ minimal scalars and another approximate effective action) of anti-evaporation of nearly maximal SdS (Nariai) black holes takes also place in the model under consideration. Careful treatment of quantum corrections and perturbations modes of Nariai black hole is given being quite complicated. It is shown that exists also perturbation where black hole radius shrinks, i.e. black hole evaporates. We point out that our result holds for wide class of models including conformal scalars, spinors and vectors. Hence,anti-evaporation of SdS black holes is rather general effect which should be taken into account in quantum gravity considerations.
Nojiri Shin'ichi
Odintsov Sergei D.
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