The shear dynamics in Bianchi I cosmological model on the brane

TL;DR

This paper investigates the shear dynamics in a Bianchi I cosmological model on the brane, revealing a maximum shear during the transition from nonstandard to standard cosmology and deriving an exact formula for matter density at that point.

Contribution

It provides a new analysis of shear behavior in brane-world cosmology and derives an exact formula for matter density at maximum shear.

Findings

Shear parameter reaches a maximum during the transition period.

An exact formula for matter density at maximum shear is obtained.

The study focuses on the case where 1 < γ < 2.

Abstract

The shear dynamics in Bianchi I cosmological model on the brane with a perfect fluid (the equation of state is $p=(\gamma-1) \mu$) is studied. It is shown that for $1 < \gamma < 2$ the shear parameter has maximum at some moment during a transition period from nonstandard to standard cosmology. An exact formula for the matter density $\mu$ in the epoch of maximum shear parameter as a function of the equation of state is obtained.