Statefinder diagnostic of logarithmic entropy corrected holographic dark energy with Granda-Oliveros IR cut-off

TL;DR

This paper investigates a modified holographic dark energy model with logarithmic entropy correction and Granda-Oliveros IR cutoff, analyzing its evolution, statefinder diagnostics, and compatibility with observational data.

Contribution

It introduces the LECHDE model with G-O IR cutoff, analyzing its dynamics and diagnostic parameters, and compares its predictions with observational and Ricci scale scenarios.

Findings

The model can cross the phantom divide without dark energy-dark matter interaction.

At present, the model mimics ΛCDM for specific parameter ratios.

The statefinder parameters vary with model parameters and match known cosmological scenarios.

Abstract

In this work, we have studied the logarithmic entropy corrected holographic dark energy (LECHDE) model with Granda-Oliveros (G-O) IR cutoff. The evolution of dark energy (DE) density $\Omega'_D$, the deceleration parameter, $q$, and equation of state parameter (EoS), $\omega_{\Lambda}$, are calculated. We show that the phantom divide may be crossed by choosing proper model parameters, even in absence of any interaction between dark energy and dark matter. By studying the statefinder diagnostic and $\omega_{\Lambda}-\omega_{\Lambda}^{\prime}$ analysis, the pair parameters $\{r,s\}$ and $(\omega_{\Lambda}-\omega_{\Lambda}^{\prime})$ is calculated for flat GO-LECHDE universe. At present time, the pair $\{r,s\}$ can mimic the $\Lambda$CDM scenario for a value of $\alpha/\beta\simeq 0.87$, which is lower than the corresponding one for observational data ($\alpha/\beta=1.76$) and for Ricci scale ($\alpha/\beta=2$). We find that at present, by taking the various values of ($\alpha/\beta$), the different points in $r-s$ and $(\omega_{\Lambda}-\omega_{\Lambda}^{\prime})$ plans are given. Moreover, in the limiting case for a flat dark dominated universe at infinity ($t\rightarrow \infty$), we calculate $\{r,s\}$ at G-O scale. For Ricci scale ($\alpha = 2$, $\beta = 1$) we obtain $\{r=0,s=2/3\}$.