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

Guido Cognola, Emilio Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini

    Research output: Contribution to journalArticleResearchpeer-review

    249 Citations (Scopus)


    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, which allows us to study in detail the possibility of (de)stabilization of the de Sitter background by quantum effects. The one-loop effective action may also be useful for the study of the constant curvature black hole nucleation rate and it provides a plausible way of resolving the cosmological constant problem. © 2005 IOP Publishing Ltd.
    Original languageEnglish
    Pages (from-to)217-243
    JournalJournal of Cosmology and Astroparticle Physics
    Issue number2
    Publication statusPublished - 1 Feb 2005


    • Dark energy theory
    • Quantum field theory on curved space


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