Statefinder diagnosis for holographic dark energy models in modified f ( R , T ) $f(R,T)$ gravity

Abstract

In this paper we consider the non-viscous and viscous holographic dark energy models in modified $f(R,T)$ gravity in which the infra-red cutoff is set by the Hubble horizon. We find power-law and exponential form of scale factor for non-viscous and viscous models, respectively. It is shown that the Hubble horizon as an infra-red cut-off is suitable for both the models to explain the recent accelerated expansion. In non-viscous model, we find that there is no phase transition. However, viscous model explains the phase transition from decelerated phase to accelerated phase. The cosmological parameters like deceleration parameter and statefinder parameters are discussed to analyze the dynamics of evolution of the Universe for both the models. The trajectories for viscous model are plotted in $r$ - $s$ and $r$ - $q$ planes to discriminate our model with the existing dark energy models which show the quintessence like behavior.