Abstract

In this paper, we investigate the dynamic evolution of universe in the models of holographic dark energy with [Formula: see text] gravity framework where, [Formula: see text] is the non-metricity scalar and [Formula: see text] is the energy–momentum tensor trace. We have considered [Formula: see text] framework and investigated the evolution of cosmological quantities like energy density, equation of state (EoS) parameter and classical stability parameter with redshift. We parameterize the deceleration parameter and confront the Hubble parameter with the observational data. We investigate for the late-time accelerated expansion of universe and discuss the stability of the model by using adiabatic sound speed squared parameter. A comparison among these derived models suggest that the Renyi holographic dark energy model with GO cutoff satisfies the observational constraint of Planck+SNe+BAO on EoS parameter at present time as compared to other models. Diagnostic tools such as Statefinders and Om diagnostic have been used to classify the dark energy evolution regions.

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