Dark energy model with variable $q$ and $\omega$ in LRS Bianchi-II space-time

TL;DR

This paper presents an exact solution for a dark energy model in LRS Bianchi-II space-time, showing a universe transitioning from deceleration to acceleration with variable equation of state and deceleration parameters.

Contribution

It introduces a new exact solution with variable $q$ and $mbda$ in LRS Bianchi-II space-time, capturing the universe's transition from deceleration to acceleration.

Findings

Universe transitions from decelerating to accelerating phase.

Model exhibits time-dependent equation of state and deceleration parameters.

Physical and geometrical properties of the universe are analyzed.

Abstract

The present study deals with spatial homogeneous and anisotropic locally rotationally symmetric (LRS) Bianchi-II dark energy model in general relativity. The Einstein's field equations have been solved exactly by taking into account the proportionality relation between one of the components of shear scalar $(\sigma^{1}_{1})$ and expansion scalar $(\vartheta)$, which, for some suitable choices of problem parameters, yields time dependent equation of state (EoS) and deceleration parameter (DP), representing a model which generates a transition of universe from early decelerating phase to present accelerating phase. The physical and geometrical behavior of universe have been discussed in detail.