Theoretical analysis on the Barrow holographic dark energy in the Finsler–Randers cosmology

Abstract

Cosmological features of Barrow Holographic Dark Energy (BHDE), a recent generalization of original Holographic dark energy with a richer structure, are studied in the context of Finsler–Randers universe, where the Hubble horizon is considered as the IR cutoff. Following this setup, we derive the evolution equation for the Barrow holographic dark energy-density parameter, the equation-of-state (EoS) parameter and deceleration parameter. As a result of our study, it is obtained that the model is able to describe the currently accelerating universe in both noninteractive and interactive scenarios, and that the development of the deceleration phase over to the acceleration phase also occurs later in this case. Furthermore, we discuss the statefinder diagnosis of this model, while plotting [Formula: see text] and [Formula: see text] versus redshift [Formula: see text] and the evolutionary trajectories of [Formula: see text]. We find that the statefinder is not only superior in breaking the parsimony of the different coupling parameter values in this model, but also clearly distinguishes between the Barrow holographic dark energy model and the [Formula: see text] model. In addition, we find that the statefinder pair performs slightly worse than [Formula: see text] for both [Formula: see text] and [Formula: see text] in this model. Finally, we show that the distance modulus of the theoretical model is compared with the observed data of Ia supernovae, and it is found that the theoretical model is in good agreement with the observed data. Our model satisfactorily explains the present history of the universe, thus providing a good candidate for dark energy.