Statefinder Diagnosis for Ricci Dark Energy

TL;DR

This paper applies the statefinder diagnostic to Ricci dark energy, analyzing its evolutionary trajectories and comparing it with other models, and introduces the Om diagnostic for cases where statefinder fails.

Contribution

It extends the statefinder diagnostic to Ricci dark energy and introduces the Om diagnostic as an alternative for model discrimination.

Findings

Statefinder trajectories depend on model parameters.

Statefinder diagnostic cannot distinguish LCDM and RDE in a special case.

Om diagnostic successfully differentiates models in the special case.

Abstract

Statefinder diagnostic is a useful method which can differ one dark energy model from each others. In this letter, we apply this method to a holographic dark energy model from Ricci scalar curvature, called the Ricci dark energy model(RDE). We plot the evolutionary trajectories of this model in the statefinder parameter-planes, and it is found that the parameter of this model plays a significant role from the statefinder viewpoint. In a very special case, the statefinder diagnostic fails to discriminate LCDM and RDE models, thus we apply a new diagnostic called the Om diagnostic proposed recently to this model in this case in Appendix A and it works well.