Strong cosmic censorship in vacuum space--times with compact, locally homogeneous Cauchy surfaces

TL;DR

This paper investigates the validity of strong cosmic censorship in vacuum space-times with compact, locally homogeneous Cauchy surfaces, confirming its validity in Bianchi IX models with spherical topology.

Contribution

It demonstrates that strong cosmic censorship holds in Bianchi IX vacuum space-times with spherical spatial topology, expanding understanding of cosmic censorship in homogeneous models.

Findings

Strong cosmic censorship is valid in Bianchi IX vacuum models with spherical topology.

The study confirms the conjecture for a class of spatially compact, locally homogeneous vacuum space-times.

Abstract

We consider the question of strong cosmic censorship in spatially compact, spatially locally homogeneous vacuum models. We show in particular that strong cosmic censorship holds in Bianchi IX vacuum space--times with spherical spatial topology.