Power Law and Logarithmic Ricci Dark Energy Models in Horava-Lifshitz Cosmology

Abstract

In this work, we studied the Power Law and the Logarithmic Entropy Corrected versions of the Ricci Dark Energy (RDE) model in a spatially non-flat universe and in the framework of Ho\v{r}ava-Lifshitz cosmology. For the two cases containing non-interacting and interacting RDE and Dark Matter (DM), we obtained the exact differential equation that determines the evolutionary form of the RDE energy density parameter. Moreover, we obtained the expressions of the deceleration parameter $q$ and, using a parametrization of the equation of state (EoS) parameter $\omega_D$ as $\omega_D\left(z\right)=\omega_0+\omega_1 z$, we derived the expressions of both $\omega_0$ and $\omega_1$. We interestingly found that the expression of $\omega_0$ is the same for both non-interacting and interacting case. The expression of $\omega_1$ for the interacting case has strong dependence from the interacting parameter $b^2$. The parameters derived in this work are done in small redshift approximation and for low redshift expansion of the EoS parameter.