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

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 Hořava-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 $ω_D$ as $ω_D\left(z\right)=ω_0+ω_1 z$, we derived the expressions of both $ω_0$ and $ω_1$. We interestingly found that the expression of $ω_0$ is the same for both non-interacting and interacting case. The expression of $ω_1$ 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.