The f(R) Gravity Function of the Linde Quintessence

TL;DR

This paper derives the f(R) gravity function for a Linde quintessence model, showing its approximation to Starobinsky inflation at high curvature and Einstein-Hilbert form at low curvature, linking early and late Universe behaviors.

Contribution

It provides an explicit calculation of the f(R) function for the Linde quintessence model, connecting inflationary and dark energy regimes within a unified framework.

Findings

f(R) approximates Starobinsky model during inflation

f(R) reduces to Einstein-Hilbert form at late times

Links early Universe inflation to current dark energy

Abstract

We calculate the f(R) gravity function in the dual gravity description of the quintessence model with a quadratic (Linde) scalar potential and a positive cosmological constant. We find that in the large curvature regime relevant to chaotic inflation in early Universe, the dual f(R) gravity is well approximated by the (matter) loop-corrected Starobinsky inflationary model. In the small curvature regime relevant to dark energy in the present Universe, the f(R) gravity function reduces to the Einstein-Hilbert one with a positive cosmological constant.