Study of F(T) gravity in the framework of the Tsallis holographic dark energy model

Abstract

In the present study, a new f(T) modified gravity model is established using a Tsallis holographic dark energy model (THDE) with a Hubble cutoff. Assuming a power law scale factor we verified the growth of dark energy; deceleration parameter q is considered, which shows that the universe is in acceleration mode. Moreover, in order to study the stability of our model, we consider the square of speed of sound $v_{D}^{2}$ , showing that the model is stable over the considered range of redshift z. We illustrate the evolution of energy conditions, and we notice that the strong energy condition (SEC) and the weak energy condition (WEC) are violated over the accelerated phantom regime.