Barrow Holographic dark energy in fractal cosmology

Abstract

The current study takes into account the evolution of a fractal universe with holographic dark energy through Barrow entropy and dark matter, i.e. without pressure, which interact with one another through mutual interaction. The interaction term for this model is then rebuilt by using the Hubble length as the IR cut-off scale. We represent Barrow holographic dark energy as Nojiri–Odintsov generalized holographic dark energy in fractal universe. The cosmological parameters that change over the course of cosmic history are looked at from the early matter-dominated period through the late time acceleration. The results of the study indicate that the cosmos recently underwent a smooth transition from a decelerated to an accelerated phase of expansion. We also found that the Barrow holographic dark energy equation of state parameter exhibits a rich behavior, lying in the quintessence regime, the phantom regime, or experiencing the phantom-divide crossing during evolution, depending on the values of the coupling term [Formula: see text] and the Barrow exponent [Formula: see text]. It has been reported on the evolution of the model’s Hubble parameter and a comparison with the most recent cosmic chronometer data. The stability of the model has also been examined in order to determine its viability, with the square of sound speed being taken into account.