Power-Law Entropy-Corrected Holographic Dark Energy in Ho\v{r}ava-Lifshitz Cosmology with Granda-Oliveros Cut-off

TL;DR

This paper explores a modified holographic dark energy model within Hořava-Lifshitz cosmology, analyzing its evolution, stability, and observational parameters for various model configurations and parameters.

Contribution

It introduces the Power Law Entropy Corrected Holographic Dark Energy model with Granda-Oliveros cut-off in Hořava-Lifshitz cosmology, deriving key cosmological parameters and stability conditions.

Findings

Derived evolution equations for dark energy density and EoS parameter.

Analyzed the behavior of cosmographic and statefinder parameters.

Assessed stability via squared speed of sound for different parameters.

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 Ho\v{r}ava-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 $\Omega_D'$, 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 $\beta$.