Renyi Holographic Dark Energy models in Teleparallel gravity

Abstract: In this paper, we have investigated the physical behavior of cosmological models in the framework of modified Teleparallel gravity. This model is established using a Renyi holographic `dark energy model (RHDE) with a Hubble cutoff. Here we have considered a homogeneous and isotropic Friedman universe filled with perfectfluid. The physical parameters are derived for the present model in Compliances with 43 observational Hubble data sets (OHD). The equation of state (EoS) parameter in terms of $H(z)$ describes a the transition of the universe between phantom and non-phantom phases in the context of $f(T)$ gravity. Our model shows the violation of strong energy condition (SEC) and the weak energy condition (WEC) over the accelerated phantom regime. We also observed that these models occupy freezing regions through $\omega_{D} -\omega_{D}^{'}$ plane. Consequently, our Renyi HDE model is supported to the consequences of general relativity in the framework of $f(T)$ modified gravity.