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arXiv · hep-th/0501096

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

Guido Cognola·Emilio Elizalde·Shin'ichi Nojiri·Sergei D. Odintsov·Sergio Zerbini
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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 $f(R)$ 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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Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini. 2005-02-14. One-loop f(R) gravity in de Sitter universe. https://doi.org/10.1088/1475-7516%2F2005%2F02%2F010

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