Statefinder hierarchy for Tsallis holographic dark energy

Abstract

We apply the cosmological statefinder hierarchy to diagnose Tsallis holographic dark energy (THDE) models, which has been suggested by Tavayef et al. (2018), a new class of holographic dark energy (HDE) models in the non-flat universe. The IR cut off for the Tsallis holographic dark energy is taken as the apparent horizon. The evolutionary trajectories of statefinder hierarchy S31 and S41 against redshift z has been plotted. We observe from the evolutionary trajectories of S31 and S41, the statefinder hierarchy parameter S31 and S41 performs almost the same behavior and corresponds to the ΛCDM model in the future for all the three cases i.e flat, open and closed Universes.