Statefinder diagnostic and $w-w^{\prime}$ analysis for interacting polytropic gas dark energy model

TL;DR

This paper analyzes an interacting polytropic gas dark energy model using statefinder and $w-w^{\prime}$ diagnostics, showing how model parameters influence cosmic evolution and how it compares to the standard $\Lambda$CDM model.

Contribution

It introduces a detailed diagnostic analysis of the interacting polytropic gas dark energy model, highlighting parameter effects on cosmic evolution trajectories.

Findings

Different parameters lead to distinct evolutionary trajectories in diagnostic planes.

The model mimics the $\Lambda$CDM model at early times.

Parameter variations affect the interaction dynamics.

Abstract

The interacting polytropic gas dark energy model is investigated from the viewpoint of statefinder diagnostic tool and $w-w^{\prime}$ analysis. The dependency of the statefinder parameters on the parameter of the model as well as the interaction parameter between dark matter and dark energy is calculated. We show that different values of the parameters of model and different values of interaction parameter result different evolutionary trajectories in $s-r$ and $w-w^{\prime}$ planes. The polytropic gas model of dark energy mimics the standard $\Lambda$CDM model at the early time.