One-loop f(R) gravity in de Sitter universe
Abstract
Motivated by the dark energy issue, the one-loop quantization approach for a family of relativistic cosmological theories is discussed in some detail. Specifically, general gravity at the one-loop level in a de Sitter universe is investigated, extending a similar program developed for the case of pure Einstein gravity. Using generalized zeta regularization, the one-loop effective action is explicitly obtained off-shell, what allows to study in detail the possibility of (de)stabilization of the de Sitter background by quantum effects. The one-loop effective action maybe useful also for the study of constant curvature black hole nucleation rate and it provides the plausible way of resolving the cosmological constant problem.
Cite
@article{arxiv.hep-th/0501096,
title = {One-loop f(R) gravity in de Sitter universe},
author = {Guido Cognola and Emilio Elizalde and Shin'ichi Nojiri and Sergei D. Odintsov and Sergio Zerbini},
journal= {arXiv preprint arXiv:hep-th/0501096},
year = {2009}
}
Comments
25 pages, Latex file. Discussion enlarged, new references added. Version accepted in JCAP