Statefinder diagnosis for holographic dark energy in the DGP braneworld

TL;DR

This paper applies the statefinder diagnostic to holographic dark energy models within flat FRW and DGP braneworld frameworks, comparing their evolution with the standard Lambda-CDM model to distinguish between dark energy scenarios.

Contribution

It extends the statefinder diagnostic to holographic dark energy in DGP braneworlds using different IR cutoffs, providing a comparative analysis with other dark energy models.

Findings

Statefinder parameters evolve distinctly for HDE in different frameworks.

Comparison shows differences between HDE and Lambda-CDM models.

Results help discriminate dark energy models based on their evolutionary trajectories.

Abstract

Many dark energy (DE) models have been proposed, in recent years, to explain acceleration of the Universe expansion. It seems necessary to discriminate the various DE models in order to check the viability of each model. Statefinder diagnostic is a useful method which can differentiate various DE models. In this paper, we investigate the statefinder diagnosis parameters for the holographic dark energy (HDE) model in two cosmological setup. First, we study statefinder diagnosis for HDE in the context of flat Friedmann-Robertson-Walker (FRW) Universe in Einstein gravity. Then, we extend our study to the DGP braneworld framework. As system's IR cutoff we chose the Hubble radius and the Granda-Oliveros cutoff inspired by Ricci scalar curvature. We plot the evolution of statefinder parameres $\{r,s\}$ in terms of the redshift parameter $z$. We also compare the results with those obtained for statefinder diagnosis parameters of other DE models, in particular with $\Lambda$CDM model.