Bianchi Type I Anisotropic Universe without Big Smash Driven by Law of Variation of Hubble's Parameter

TL;DR

This paper explores a Bianchi Type I universe model with dark energy that avoids the Big Rip scenario by combining a fluid with equation of state p = ωρ and generalized Chaplygin gas, ensuring a regular scale factor over time.

Contribution

It introduces a novel Bianchi Type I universe model that prevents Big Rip even with ω < -1 by integrating generalized Chaplygin gas and a specific law of Hubble's parameter variation.

Findings

The scale factor remains regular for all time.

The model avoids Big Rip with ω < -1.

Effective role of generalized Chaplygin gas discussed.

Abstract

A spatially homogeneous and anisotropic Bianchi Type I universe has been studied with {\omega} <-1 without Big Smash. It is demonstrated that if cosmic dark energy behaves like a fluid with equation of state p = {\omega}{\rho} (p and {\rho} being pressure and energy density respectively) as well as generalized chaplygin gas simultaneously, Big Rip or Big Smash problem does not arise even for equation of state parameter {\omega} <-1 unlike other phantom models, here, the scale factor for Bianchi Type I universe is found regular for all time. The present model is derived by using law of variation of Hubble's parameter from Bianchi Type I space-time and also the effective role of GCG behaviour is discussed.