Super-horizon effects on the gauge invariant effective energy density in f(R) gravity

TL;DR

This paper investigates how cosmological perturbations in f(R) gravity influence the background universe during inflation, focusing on super-horizon effects and deriving the effective energy density including quantum corrections.

Contribution

It provides a gauge-invariant calculation of the effective energy density due to perturbations in f(R) gravity during inflation, incorporating one-loop quantum corrections.

Findings

Effective energy density derived for super-horizon perturbations.

Back-reaction effects quantified during inflation.

Quantum corrections included in the energy density calculation.

Abstract

In this article we study the gauge invariant effective energy momentum tensor for cosmological perturbations in f(R) gravity during the inflationary epoch. Considering the super-horizon regime, we derive the effective energy density up to the one-loop corrections. It describes the back-reaction effect of the fluctuations on the background space-time.