Power-Law Entropy-Corrected Holographic Dark Energy in Hořava-Lifshitz Cosmology with Granda-Oliveros Cut-off

Abstract

In this paper, we study the Power Law Entropy Corrected Holographic Dark Energy (PLECHDE) model in the framework of a non-flat Universe and of Hořava-Lifshitz cosmology with infrared cut-off given by recently proposed Granda-Oliveros cut-off, which contains one term proportional to the Hubble parameter squared $H^2$ and one term proportional to the first time derivative of the Hubble parameter $\dot{H}$. Moreover, this cut-off is characterized by two constant parameters, $\alpha$ and $\beta$. For the two cases corresponding to non-interacting and interacting DE and Dark Matter (DM), we derive the evolutionary form of the energy density of DE ${\Omega }_D^{\prime }$, the Equation of State (EoS) parameter of DE ${\omega }_D$ and the deceleration parameter $q$. Using the parametrization of the EoS parameter ${\omega }_D\left(z\right)={\omega }_0+{\omega }_{1}z$, we obtain the expressions of the two parameters ${\omega }_0$ and ${\omega }_1$. We also study the statefinder parameters $\left\{r,s\right\}$, the snap and lerk cosmographic parameters and the squared speed of the sound $v_s^2$. We also calculate the values of the quantities we study for different values of the running parameter $\lambda$ and for different set of values of $\alpha$ and $\beta$.

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