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

By G. Cognola, E. Elizalde, Shin'ichi Nojiri, Sergei D. Odintsov, Sergio Zerbini. 2005

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/51eb0c4fc22f6617b4ee0089b4f42c0ab6a07224

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In Astronomy and Astrophysics

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Citations in the corpus

Cosmological constraints on f(R) gravity theories within the Palatini approach (2005, methodology): “…models are called Nonlinear Theories of Gravity (Magnano & Sokolowski 1994; Allemandi et al. 2006) orf (R) theories (Bronnikov & Chernakova 2005; Cognola et al. 2005; Nunez & Solganik 2004; Ezawa et al. 2003; Barraco et al. 2000; Schmidt 1998; Rippl et al. 1996; Barrow & Ottewill 1983), since…”