One-loop corrections for Schwarzschild black hole via 2D dilaton gravity

Details One-loop corrections for Schwarzschild black hole via 2D dilaton gravity One-loop corrections for Schwarzschild black hole via 2D dilaton gravity

1998-04-30

arxiv.org/abs/gr-qc/9804083v2

Phys.Rev.D59:084002,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, Latex, some corrections are made in Sect. 4

Scientific paper

10.1103/PhysRevD.59.084002

We study quantum corrections for the Schwarzshild black hole by considering it as a vacuum solution of a 2D dilaton gravity theory obtained by spherical reduction of 4D gravity coupled with matter. We find perturbatively the vacuum solution for the standard one-loop effective action in the case of null-dust matter and in the case of minimally coupled scalar field. The corresponding state is in both cases 2D Hartle-Hawking vacuum, and we evaluate the corresponding quantum corrections for the thermodynamical parameters of the black hole. We also find that the standard effective action does not allow boundary conditions corresponding to a 4D Hartle-Hawking vacuum state.

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