Ellipsoidal Expansion of the Universe, Cosmic Shear, Acceleration and Jerk Parameter

TL;DR

This paper explores how anisotropy in Bianchi I Universe models affects cosmic shear, deceleration, and jerk parameters, providing insights into the universe's expansion dynamics and transition from deceleration to acceleration.

Contribution

It introduces a shear parametric approach to analyze the transition from deceleration to acceleration in anisotropic cosmological models and examines the relationship between jerk and ellipsoidal universe.

Findings

Cosmic shear expressions are derived for Bianchi I models.

Connections between deceleration parameter and cosmic shear are established.

The relationship between jerk parameter and ellipsoidal universe is analyzed.

Abstract

In order to study if the anisotropy of the spacetime may induce differences in the cosmic shear or in deceleration parameter we investigate in Bianchi I Universe the most general expression for the cosmic shear and we study the connections between deceleration parameter and cosmic shear. We also consider a shear parametric approach to measure the transition from decelerating to an accelerating Universe. We also study the connection between jerk parameter and ellipsoidal Universe.