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 Hořava-Lifshitz cosmology considering a non-flat Universe. As infrared cut-off of the system, we choose the recently proposed Granda-Oliveros (GO) cut-off, which is a function of the Hubble parameter squared H2 and of the first time derivative of the Hubble parameter $\dot{H}$ . Moreover, the GO cut-off is characterized by two constant parameters, $\alpha$ and $\beta$ , representing the multiplying factors of the two terms forming the cut-off itself. We derive the evolutionary form of the fractional energy densities of DE, DM and curvature $\Omega_{D}'$ , $\Omega_{m}'$ and $\Omega_{k}'$ , the pressure of DE pD, the Equation-of-State (EoS) parameter of DE $\omega_{D}$ and the deceleration parameter q . Using the parametrization of the EoS parameter $\omega_{D}(z) = \omega_{0}+\omega_{1} z$ , we obtain the expressions of $\omega_{0}$ and $\omega_{1}$ . We also study the behavior of the statefinder parameters {r,s}, the snap and lerk cosmographic parameters $s_{cosmo}$ and l and the squared speed of the sound v s 2 in order to have a better comprehension of the properties of the model considered. We also calculate the present day values of the quantities we study for different values of the running parameter $\lambda$ (which is a characteristic parameter of Hořava-Lifshitz cosmology) and for different sets of values of $\alpha$ and $\beta$ . All the quantities are derived for both non-interacting and interacting DE and Dark Matter (DM).