A global conformal extension theorem for perfect fluid Bianchi space-times

TL;DR

This paper proves a global extension theorem for isotropic singularities in perfect fluid Bianchi space-times and analyzes the behavior of the universe near these singularities.

Contribution

It introduces a new global extension theorem for isotropic singularities in Bianchi space-times with perfect fluids.

Findings

Established conditions for extending space-time beyond singularities

Analyzed the limiting behavior of the physical space-time near singularities

Provided insights into the structure of Bianchi cosmologies near isotropic singularities

Abstract

A global extension theorem is established for isotropic singularities in polytropic perfect fluid Bianchi space-times. When an extension is possible, the limiting behaviour of the physical space-time near the singularity is analysed.