Statefinder Diagnostic for Dilaton Dark Energy

TL;DR

This paper applies the Statefinder diagnostic to a dilaton dark energy model within Weyl-Scaled gravity, revealing distinctive evolutionary trajectories in the $r-s$ plane compared to other models.

Contribution

It introduces the use of the Statefinder diagnostic for the dilaton dark energy model with Mexican hat potential, highlighting unique model trajectories.

Findings

Distinct $r-s$ trajectories for the dilaton model

Effect of matter-dilaton coupling on evolution

Comparison with other dark energy models

Abstract

Statefinder diagnostic is a useful method which can differ one dark energy model from the others. The Statefinder pair $\{r, s\}$ is algebraically related to the equation of state of dark energy and its first time derivative. We apply in this paper this method to the dilaton dark energy model based on Weyl-Scaled induced gravitational theory. We investigate the effect of the coupling between matter and dilaton when the potential of dilaton field is taken as the Mexican hat form. We find that the evolving trajectory of our model in the $r-s$ diagram is quite different from those of other dark energy models.