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

TL;DR

This paper investigates the one-loop quantum corrections of a specific F(R,P,Q) gravity model in a de Sitter universe, extending previous work on F(R) gravity, and derives stability conditions for perturbations.

Contribution

It introduces a detailed one-loop quantization analysis for F(R,P,Q) gravity in de Sitter space, expanding beyond F(R) models and providing stability criteria.

Findings

Derived stability conditions under arbitrary perturbations.

Extended the quantization framework from F(R) to F(R,P,Q) gravity.

Analyzed quantum corrections in a cosmologically relevant setting.

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.