One-loop corrections for Schwarzschild black hole via 2D dilaton gravity
General Relativity and Quantum Cosmology
2009-01-16 v2 High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.gr-qc/9804083,
title = {One-loop corrections for Schwarzschild black hole via 2D dilaton gravity},
author = {Maja Buric and Voja Radovanovic and Aleksandar Mikovic},
journal= {arXiv preprint arXiv:gr-qc/9804083},
year = {2009}
}
Comments
19 pages, Latex, some corrections are made in Sect. 4