Effective Lagrangian and static black holes in 2D dilatonic gravity inspired by quantum effects
High Energy Physics - Theory
2009-09-17 v3
Abstract
We study the effective action in 2D dilaton-Maxwell quantum gravity. Working with the one-loop renormalizable subset of such theories, we construct the improved effective Lagrangian which contains curvature under logarithm. This effective Lagrangian leads to new classical dilatonic gravity inspired by quantum effects. The static black holes (BH) solutions which may play the role of a remnant after the Hawking radiation for such theory are carefully investigated. The effective Lagrangian for Gross-Neveu-dilaton gravity is also constructed (in 1/N expansion).
Cite
@article{arxiv.hep-th/9701032,
title = {Effective Lagrangian and static black holes in 2D dilatonic gravity inspired by quantum effects},
author = {Shin'ichi Nojiri and Sergei D. Odintsov},
journal= {arXiv preprint arXiv:hep-th/9701032},
year = {2009}
}
Comments
Latex file, 13 pages, published in Mod.Phys.Lett. A12 (1997) 925 (revised version)