A new class of holographic dark energy models in LRS Bianchi Type-I

TL;DR

This paper introduces a new holographic dark energy model within LRS Bianchi Type-I cosmology, deriving exact solutions and analyzing its properties, which align well with current observations and provide insights into dynamical dark energy behavior.

Contribution

The paper presents a novel holographic dark energy model in LRS Bianchi Type-I universe with exact solutions and detailed diagnostics, expanding understanding of dynamical dark energy.

Findings

Model's EoS parameter varies with time and redshift, matching observations.

Model lies in both thawing and freezing regions of dark energy.

Potential and dynamics of scalar fields are constructed and analyzed.

Abstract

In this paper, we examine the (LRS) Bianchi-type-I cosmological model with holographic dark energy. The exact solutions to the corresponding field equations are obtained by using generalized hybrid expansion law (HEL). The EoS parameter $\omega$ for DE is found to be time dependent and redshift dependent and its exiting range for derived model is agreeing well with the current observations. Here we likewise apply two mathematical diagnostics, the statefinder ({r, s}) and $\omega_{d}-\omega^{'}_{d}$ plane to segregate HDE model from the $\Lambda CDM$ model. Here the $\omega_{d}-\omega^{'}_{d}$ diagnostic trajectories is the good tool to classifying the dynamical DE model. We found that our model lies in both thawing region and freezing region. We have also construct the potential as well as dynamics of the quintessence and tachyon scalar field. Some physical and geometric properties of this model along with the physical acceptability of cosmological solution have been discussed in detail.