Growth index and statefinder diagnostic of Oscillating Dark Energy

TL;DR

This paper analyzes the cosmological implications of oscillating dark energy models by computing statefinder parameters and growth indices, comparing them with the standard Lambda-CDM model to understand their observational signatures.

Contribution

It provides a detailed analysis of oscillating dark energy models at both background and perturbation levels, including new calculations of statefinder parameters and growth indices.

Findings

Oscillating dark energy models produce distinct statefinder trajectories.

Growth index and $A=f \sigma_8$ differ from Lambda-CDM predictions.

Comparison highlights potential observational signatures of oscillating dark energy.

Abstract

We study is some detail the Cosmology of Oscillating Dark Energy described by concrete equations-of-state investigated recently in the literature. In particular, at the background level we compute the statefinder parameters, while at the level of linear cosmological perturbations we compute the growth index $\gamma$ as well as the combination parameter $A=f \sigma_8$. The comparison with $\Lambda$CDM is made as well.