LAUSR

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 S 3 1 and S 4 1 against redshift z has been plotted. We observe from the evolutionary trajectories of S 3 1 and S 4 1 , the statefinder hierarchy parameter S 3 1 and S 4 1 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.