On Higher Derivative Gravity in Two Dimensions
High Energy Physics - Theory
2009-10-28 v1
Abstract
The 2D gravity described by the action which is an arbitrary function of the scalar curvature is considered. The classical vacuum solutions are analyzed. The one-loop renormalizability is studied. For the function the model coupled with scalar (conformal) matter is exactly integrated and is shown to describe a black hole of the 2D dilaton gravity type. The influence of one-loop quantum corrections on a classical black hole configuration is studied by including the Liouville-Polyakov term. The resulting model turns out to be exactly solvable. The general solution is analyzed and shown to be free from the space-time singularities for a certain number of scalar fields.
Cite
@article{arxiv.hep-th/9405132,
title = {On Higher Derivative Gravity in Two Dimensions},
author = {S. N. Solodukhin},
journal= {arXiv preprint arXiv:hep-th/9405132},
year = {2009}
}
Comments
24p., (5 figures, available upon request), JINR E2-94-185, Latex