Some Bianchi Type-V Models of Accelerating Universe with Dark Energy

TL;DR

This paper explores Bianchi Type-V cosmological models with dark energy, revealing that dark energy dominates the current universe and leads to flatness, consistent with observations, through specific solutions of Einstein's equations.

Contribution

It introduces explicit solutions for Bianchi-V models with interacting dark energy and perfect fluid, using a special law of Hubble parameter variation, to study universe evolution.

Findings

Dark energy dominates at present epoch.

Universe becomes flat after dark energy dominance.

Models align with observational data.

Abstract

The paper deals with a spatially homogeneous and anisotropic universe filled with perfect fluid and dark energy components. The two sources are assumed to interact minimally together with a special law of variation for the average Hubble's parameter in order to solve the Einstein's field equations. The law yields two explicit forms of the scale factor governing the Bianchi-V space-time and constant values of deceleration parameter. The role of dark energy with variable equation of state parameter has been studied in detail in the evolution of Bianchi-V universe. It has been found that dark energy dominates the Universe at the present epoch, which is consistent with the observations. The Universe achieves flatness after the dominance of dark energy. The physical behavior of the Universe has been discussed in detail.