Statefinder diagnostic of logarithmic entropy corrected holographic dark energy with Granda-Oliveros IR cut-off
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O R I G I N A L A RT I C L E
Statefinder diagnostic of logarithmic entropy corrected holographic dark energy with Granda-Oliveros IR cut-off A. Khodam-Mohammadi · Antonio Pasqua · M. Malekjani · Iuliia Khomenko · M. Monshizadeh
Received: 12 February 2013 / Accepted: 21 February 2013 © Springer Science+Business Media Dordrecht 2013
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 , the deceleration parameter, dark energy (DE) density ΩD q, and equation of state parameter (EoS), ωΛ , 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 study analysis, the ing the statefinder diagnostic and ωΛ − ωΛ pair parameters {r, s} and (ωΛ − ωΛ ) is calculated for flat GO-LECHDE universe. At present time, the pair {r, s} can mimic the ΛCDM scenario for a value of α/β 0.87, which
is lower than the corresponding one for observational data (α/β = 1.76) and for Ricci scale (α/β = 2). We find that at present, by taking the various values of (α/β), the different ) plans are given. Moreover, points in r − s and (ωΛ − ωΛ in the limiting case for a flat dark dominated universe at infinity (t → ∞), we calculate {r, s} at G-O scale. For Ricci scale (α = 2, β = 1) we obtain {r = 0, s = 2/3}. Keywords Logarithmic entropy corrected · Holographic dark energy · Granda-Oliveros IR cut-off · Statefinder diagnostic
1 Introduction A. Khodam-Mohammadi () · M. Malekjani Physics Department, Faculty of Science, Bu-Ali Sina University, Hamedan 65178, Iran e-mail: [email protected] M. Malekjani e-mail: [email protected] A. Khodam-Mohammadi Department of Physics, College of Sciences, Shiraz University, Shiraz 71454, Iran A. Pasqua Department of Physics, University of Trieste, Via Valerio, 2, 34127 Trieste, Italy e-mail: [email protected] I. Khomenko Heat-and-Power Engineering Department, National Technical University of Ukraine “Kyiv Politechnical Institute”, Kiev, Ukraine e-mail: [email protected] M. Monshizadeh Physics Department, Faculty of Science, Islamic Azad University, Hamedan branch, Hamedan, Iran e-mail: [email protected]
It is widely accepted among cosmologists and astrophysicists that our universe is experiencing an accelerated expansion. The evidences of this accelerated expansion are given by numerous and complementary cosmological observations, like the SNIa (Perlmutter et al. 1999; Astier et al. 2006), the CMB anisotropy, observed mainly by WMAP (Wilkinson Microwave Anisotropy Probe) (Bennett et al. 2003; Spergel et al. 2003), the Large Scale Structure (LSS) (Tegmark et al. 2004; Abazajian et al. 2004, 2005) and X-ray (Allen et al. 2004) experiments. In the framework of standard Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmology, a missing energy component with negative pressure (known as Dark Energy (DE)) is the source of this expansion. Careful analysis of cosmologic
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