Raychaudhuri Equation in an Anisotropic Universe with Anisotropic Sources

TL;DR

This paper examines how anisotropic matter sources influence the universe's evolution, focusing on geodesic behavior in a Bianchi I universe and testing the focusing theorem under various anisotropic conditions.

Contribution

It provides a detailed analysis of the Raychaudhuri Equation in anisotropic universes with different sources, exploring geodesic focusing and the validity of the focusing theorem.

Findings

Focusing theorem holds for initially contracting and diverging universes with anisotropic sources.

Anisotropic sources like cosmic strings and magnetic fields affect geodesic convergence.

The universe's fate depends on the nature of anisotropic matter sources.

Abstract

In this paper we investigate the fate of the universe with an anisotropic background sourced by anisotropic matter. We see the behaviour of the Raychaudhuri Equation and investigate wheather a congrurence of time like geodesics focus to a point in a universe with Bianchi I background which is dictated by anisotropic sources like cosmic strings, domain walls, magnetic field and lorentz violating magnetic field each separately. Thus, Focussing theorem has been checked both for initially contracting and diverging universe with each of these anisotropic sources.