New Tsallis holographic dark energy with future event horizon as IR-cutoff in non-flat Universe

Abstract

In this work, new Tsallis holographic dark energy (NTHDE) with future event horizon as IR-cutoff is constructed in a non-flat Friedmann–Lemaitre–Robertson–Walker Universe. The accelerating expansion phase of the universe is described by using deceleration parameter, equation of state parameter and density parameter by using different values of NTHDE parameter “[Formula: see text]” and “[Formula: see text]”. We specifically derive the differential equations for the dark-energy density parameter (DP) and hence the equation of state parameter (EoS) by taking into account closed and open spatial geometry. In both a closed and an open universe, the equation of state parameter exhibits pure quintessence behavior for [Formula: see text], quintom behavior for [Formula: see text], and [Formula: see text]CDM model recovery for [Formula: see text]. We can see the phase changes from deceleration to acceleration at [Formula: see text] by tracking the evolution of the deceleration parameter. As inferred from the evolution of the Hubble parameter, NTHDE in a non-flat universe precisely matches Hubble data. Stability of our model by analyzing the squared speed of sound is investigated as well.