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

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

2005-01-13

arxiv.org/abs/hep-th/0501096v3

JCAP 0502:010,2005

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, Latex file. Discussion enlarged, new references added. Version accepted in JCAP

Scientific paper

10.1088/1475-7516/2005/02/010

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 $f(R)$ 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.

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