One-loop F(R, P, Q) gravity in de Sitter universe

Abstract

Motivated by the dark energy issue, the one-loop quantization approach for a class of relativistic higher order theories is discussed in some detail. A specific F(R, P, Q) gravity model at the one-loop level in a de Sitter universe is investigated, extending the similar program developed for the case of F(R) gravity. The stability conditions under arbitrary perturbations are derived.This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical in honour of Stuart Dowker's 75th birthday devoted to ‘Applications of zeta functions and other spectral functions in mathematics and physics’.