Areal Foliation and AVTD Behavior in T^2 Symmetric Spacetimes with Positive Cosmological Constant

TL;DR

This paper proves a global areal foliation for T^2 symmetric spacetimes with positive cosmological constant and identifies solutions showing AVTD behavior near singularities.

Contribution

It introduces a global areal foliation result and constructs solutions with AVTD behavior in the context of T^2 symmetric spacetimes with positive cosmological constant.

Findings

Established a global areal foliation for the spacetime class.

Identified solutions exhibiting AVTD behavior near singularities.

Abstract

We prove a global foliation result, using areal time, for T^2 symmetric spacetimes with a positive cosmological constant. We then find a class of solutions that exhibit AVTD behavior near the singularity.