LAUSR

Abstract By considering the time-varying deceleration parameter (DP), we have investigated Tsallis holographic dark energy (THDE), infrared cut-off with the Hubble horizon proposed by Tavayef, et al. (2018) in the framework of Friedmann Robertson Walker universe. The proposed THDE model describes that the universe is in an accelerating expansion mode. Interestingly enough, the EoS parameter in our model is representing the outstanding evolution of the universe as, the quintessence era ( ω T ≥ − 1 ), phantom era ( ω T − 1 ), according to the value of dimensionless parameter δ. To analyze the different structure of the model, we try to accommodate the two perspectives of (DE) by reconstructing the scalar field potential, which depicts the accelerated expansion at present. We examine the validity of the model by drawing the statefinder parameters and comparing them with the recent observational outcomes of cosmography.