Cosmographic analysis of interacting Renyi holographic dark energy f(T, B) gravity model

Abstract

Present analysis dedicated to the dynamical investigation of homogeneous and isotropic FLRW space–time with an interacting matter and Renyi holographic dark energy model in the context of modified gravity say f(T, B) gravity by considering the UV-IR cut-off: L as a candidate of Hubble’s horizone cut-off where T and B are the Torsion scalar and Boundary term. The features of the derived cosmological model is discussed for the different value of free parameter δ which involve in Renyi holographic dark energy in view of the time-redshift relation t=1αklog(1+1(1+z)α) which predicts both decelerated and accelerated phases of the Universe, and obtains energy density (ρr) and pressure (pr) in Renyi holographic dark energy to study the various energy conditions for cosmological models. In this Universe, it is observed that the equation of state parameter for late Universe is - 1 and in the present Universe it also supports the accelerating behavior of the Universe along with the null, weak, and dominant energy conditions are obeyed by violating strong energy condition as per the present accelerated expansion.