Statefinder diagnosis for the extended holographic Ricci dark energy model without and with interaction

TL;DR

This paper uses the statefinder diagnostic to analyze the extended holographic Ricci dark energy model, highlighting differences between interacting and non-interacting cases and their proximity to the LCDM model.

Contribution

It applies the statefinder diagnostic to the ERDE model with and without interaction, revealing how interaction influences the model's evolution.

Findings

Interacting ERDE model approaches the LCDM point more closely.

Non-interacting ERDE model does not reach the LCDM point.

Interaction significantly alters the statefinder trajectories.

Abstract

We apply the statefinder diagnostic to the extended holographic Ricci dark energy (ERDE) model without and with interaction to study their behaviors. We plot the trajectories of various parameters for different cases. It is shown that the non-interacting model does not reach the LCDM point $\{1,0\}$ and the interacting one is favored, because the interaction makes the evolution of the statefinder pair $\{r,s\}$ quite different.