Inextendibility of expanding cosmological models with symmetry

TL;DR

This paper introduces a new criterion for determining the inextendibility of expanding symmetric cosmological models, simplifying proofs and establishing inextendibility for Einstein-Vlasov solutions with $T^2$ symmetry, enhancing understanding of cosmic censorship.

Contribution

It presents a novel criterion for inextendibility and applies it to prove the inextendibility of Einstein-Vlasov solutions with $T^2$ symmetry, advancing the study of cosmic censorship.

Findings

Solutions of Einstein-Vlasov system with $T^2$ symmetry are inextendible in the future.

The new criterion simplifies proofs of inextendibility.

The technique adds a new tool for studying strong cosmic censorship.

Abstract

A new criterion for inextendibility of expanding cosmological models with symmetry is presented. It is applied to derive a number of new results and to simplify the proofs of existing ones. In particular it shows that the solutions of the Einstein-Vlasov system with $T^2$ symmetry, including the vacuum solutions, are inextendible in the future. The technique introduced adds a qualitatively new element to the available tool-kit for studying strong cosmic censorship.