Oscillatory approach to the singularity in vacuum $T^2$ symmetric spacetimes

TL;DR

This paper demonstrates through qualitative and numerical methods that vacuum $T^2$ symmetric spacetimes typically exhibit oscillatory behavior near singularities.

Contribution

It provides the first combined qualitative and numerical evidence that vacuum $T^2$ symmetric spacetimes are generally oscillatory near singularities.

Findings

Vacuum $T^2$ symmetric spacetimes are generically oscillatory.

Qualitative analysis supports the oscillatory behavior.

Numerical studies confirm the theoretical predictions.

Abstract

A combination of qualitative analysis and numerical study indicates that vacuum $T^2$ symmetric spacetimes are, generically, oscillatory.