Thawing F(R) cosmology

TL;DR

This paper investigates the conditions under which $f(R)$ gravity models exhibit thawing behavior by analyzing Brans-Dicke theory in the Einstein frame, providing criteria for thawing solutions in modified gravity theories.

Contribution

It derives necessary conditions for thawing behavior in Brans-Dicke and $f(R)$ gravity models, linking scalar-tensor theories to dark energy dynamics.

Findings

Necessary conditions for thawing behavior in scalar field potentials.

Criteria for thawing solutions in $f(R)$ gravity models.

Connection between Brans-Dicke theory and $f(R)$ gravity in the Einstein frame.

Abstract

We consider Brans-Dicke (BD) scalar tensor theory in the conformally transformed Einstein frame. In this frame BD theory behaves like an interacting quintessence model. We find the necessary conditions on the form of the potential $V(\varphi)$ in order to have thawing behavior. Finally, by setting the BD coupling constant $\omega=0$, the metric $f(R)$ gravity has been considered in the Einstein frame. Assuming the existence of thawing solution, some necessary conditions for $f(R)$ gravity models have been derived.