Behaviour of interacting Ricci dark energy in logarithmic f(T) gravity

Abstract

In the present work we have considered a modified gravity dubbed as "logarithmic $f(T)$ gravity" and investigated the behavior of Ricci dark energy interacting with pressureless dark matter. We have chosen the interaction term in the form $Q\propto H\hat{I}´\ddot{I}{}_m$ and investigated the behavior of the Hubble parameter $H$ as a function of the redshift $z$. For this reconstructed $H$ we have investigated the behavior of the density of the Ricci dark energy $\ddot{I}{}_{RDE}$ and density contribution due to torsion $\ddot{I}{}_T$. All of the said cosmological parameters are seen to have increasing behavior from higher to lower redshifts for all values of $c^2$ pertaining to the Ricci dark energy. Subsequently, we observed the equation of state parameter $w_{RDE}$ in this situation. The equation of state parameter is found to behave like phantom for all choices of $c^2$ in the Ricci dark energy.

9 pages, 7 figures