Guido Cognola et al JCAP02(2005)010 doi:10.1088/1475-7516/2005/02/010
Guido Cognola1, Emilio Elizalde2, Shin'ichi Nojiri3, Sergei D Odintsov4,5 and Sergio Zerbini1
Show affiliationsMotivated 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.
98.80.Jk Mathematical and relativistic aspects of cosmology
Issue 02 (February 2005)
Received 14 January 2005, accepted for publication 14 February 2005
Published 24 February 2005
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