Statefinder diagnosis of nearly flat and thawing non-minimal quintessence

TL;DR

This paper applies the statefinder diagnostic to non-minimal quintessence models with nearly flat and thawing potentials, providing analytical expressions and evolutionary trajectories to distinguish dark energy behaviors.

Contribution

It introduces a novel application of statefinder diagnosis to non-minimal quintessence models with specific potentials, deriving analytical expressions for the equation of state.

Findings

Analytical expressions for the equation of state parameter are obtained.

Evolutionary trajectories of statefinder parameters are plotted.

The method helps distinguish different dark energy models.

Abstract

Non-minimally coupled scalar field models of dark energy are equivalent to an interacting quintessence in the Einstein's frame. Considering two special important choices of the potential of the scalar field, i.e. nearly flat and thawing potential, one has an analytical expression for the equation of state parameter as a function of the density parameter of the scalar field for any choice. Here we investigate the non-minimal quintessence model by applying the method of statefinder diagnosis to it and plotting the evolutionary trajectories of the statefinder parameters.