Cosmological parameters in Barrow holographic dark energy

This work is dedicated to the cosmological scenario of the Barrow holographic dark energy (BHDE) in the light of time varying deceleration parameter. We investigate the evolution of a spatially flat Friedmann-Robertson-Walker (FRW) universe filled with pressure-less dark matter and BHDE density. We analyze the evolutionary history of essential cosmological parameters, including the deceleration parameter, the equation of state parameter, and the density parameter, using the Hubble horizon as the IR cut-off, and find appropriate characteristics in the BHDE model. Also, we examine the various structures of the model by reconstructing the scalar field potential to describe the universe accelerated expansion phase. For more accuracy of the dark energy model characteristics, we include the statefinder pair (r,s) which mimics the ACDM model.