English

One-loop f(R) gravity in de Sitter universe

High Energy Physics - Theory 2009-09-17 v3 Astrophysics General Relativity and Quantum Cosmology

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 f(R)f(R) 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.

Keywords

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

R2 v1 2026-07-22T15:28:07.481Z