Bianchi-I anisotropic universe with Barrow holographic dark energy

Bikash Chandra Paul,Arindam Saha,Bikash Chandra Roy

doi:10.1140/epjc/s10052-022-10041-5

Bikash Chandra Paul, Arindam Saha + Show 1 more

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https://doi.org/10.1140/epjc/s10052-022-10041-5

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Abstract

In this paper, we study Bianchi type-I universe in the presence of Barrow holographic dark energy and matter. Anisotropic cosmological model is explored here using the recently proposed holographic principle by Barrow where the standard Bekenstein–Hawking entropy is a special case. The holographic dark energy is employed to investigate the evolution of matter density and the dark energy density in an anisotropic Bianchi-I universe. The equation of state parameter of the dark energy is found to lie in the quintessence or in the phantom regime at the present epoch depending on the value of the new exponent and anisotropy in the universe. We found that an anisotropic universe with higher anisotropy transits to a late accelerating phase before a universe with lower anisotropy. It is also observed that the new exponent plays an important role to identify the nature of the universe.

Highlights

In cosmology it is known that the universe on a sufficiently large scale is homogeneous and isotropic
We consider Bianchi type-I universe with Barrow holographic dark energy principle to obtain cosmological model that describes the features of the observed universe with matter in the framework of Einstein gravity
It is interesting to look for a cosmological model with the above extended entropy relation which is the basis of holographic dark energy

Summary

Introduction

In cosmology it is known that the universe on a sufficiently large scale is homogeneous and isotropic. The Bianchi type-I space-time represents a universe which gives rise to a universe with anisotropic behaviour [29,30]. We consider Bianchi type-I universe with Barrow holographic dark energy principle to obtain cosmological model that describes the features of the observed universe with matter in the framework of Einstein gravity. It is interesting to look for a cosmological model with the above extended entropy relation which is the basis of holographic dark energy. The new functional form of the entropy improves the cosmological scenario compared to the standard scenarios of holographic dark energy [32–35]. The motivation of the paper is to investigate the evolution of an anisotropic universe with the Barrow Holographic dark

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Einstein’s field equations

Isotropization of Bianchi-I universe

Cosmological models with Barrow holographic dark energy

Discussion