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

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 ${\Omega }_D^{\prime }$, 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 ($t\to \infty$), we calculate $\{r,s\}$ at G-O scale. For Ricci scale ($\alpha =2$, $\beta =1$) we obtain $\{r=0,s=2/3\}$.

13 pages, Accepted by Astrophys. Space Science, DOI: 10.1007/s10509-013-1400-y

References in corpus (23)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• Infrared cut-off proposal for the Holographic density
• New infrared cut-off for the holographic scalar fields models of dark energy
• The holographic dark energy in non-flat Brans-Dicke cosmology
• Quantum Tunneling and Back Reaction
• Interacting holographic generalized Chaplygin gas model
• Interacting Holographic Phantom
• Bulk-Brane Interaction and Holographic Dark Energy
• Holographic tachyon model of dark energy
• Statefinder Diagnostic and w-w' Analysis for the Agegraphic Dark Energy Models without and with Interaction
• Interacting holographic dark energy
• Interacting holographic dark energy in Brans-Dicke theory
• Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
• Thermodynamical Interpretation of the Interacting Holographic Dark Energy Model in a non-flat Universe
• Entropy-Corrected Holographic Dark Energy
• Statefinder diagnostic and stability of modified gravity consistent with holographic and new agegraphic dark energy
• A model of interacting holographic dark energy at the Ricci's scale
• Correspondence between entropy-corrected holographic and Gauss-Bonnet dark energy models
• Reconstructing interacting entropy-corrected holographic scalar field models of dark energy in non-flat universe
• Cosmic Behavior, Statefinder Diagnostic and $w-w^{\prime }$ Analysis for Interacting NADE model in Non-flat Universe
• Generalized Chaplygin gas model: Cosmological consequences and statefinder diagnosis
• Interacting entropy-corrected holographic scalar field models in non-flat universe

Cited by in corpus (1)

• Barrow Holographic Dark Energy Model with GO Cut-off -- An Alternative Perspective