Hypersurface-homogeneous space-time with interacting holographic model of dark energy with Hubble's and Granda-Oliveros IR cut-off

In this paper, we have constructed the cosmological model of the universe in interacting two-fluid environment i.e. dark matter and HDE models by choosing the interaction between them should be a function with unit of inverse of cosmic time which is the form of Q = 3 delta H rho(m) (where delta is the coupling constant). In order to construct the model, Hypersurface-homogeneous space-time is considered with a constant deceleration parameter which corresponds to purely accelerating model towards q = -5.4. An interacting fluids such as dark matter, holographic and Renyi HDE fluids have shown their dominance in Hubble's and Granda-Oliveros cut-off respectively in early and late times of the cosmic evolution. The scale factor that simulates the accelerating expansion is based on the value of constant alpha = 0.45. The physical parameter of the model such as EoS, squared velocity of sound, total density parameter with redshift are also derived and analyzed. (C) 2021 Elsevier B.V. All rights reserved.