Strong cosmic censorship for T^2-symmetric spacetimes with cosmological constant and matter

TL;DR

This paper investigates the validity of strong cosmic censorship in T^2-symmetric spacetimes with a positive cosmological constant, proving the conjecture in specific matter and vacuum cases.

Contribution

It completes the proof of the C^2 formulation of strong cosmic censorship for collisionless matter and establishes the conjecture for certain vacuum cases with non-vanishing area element.

Findings

C^2 strong cosmic censorship holds for collisionless matter in T^2-symmetric spacetimes.

The conjecture is valid in vacuum cases where the group orbit area element does not vanish.

The results extend understanding of cosmic censorship in spacetimes with cosmological constant.

Abstract

We address the issue of strong cosmic censorship for T^2-symmetric spacetimes with positive cosmological constant. In the case of collisionless matter, we complete the proof of the C^2 formulation of the conjecture for this class of spacetimes. In the vacuum case, we prove that the conjecture holds for the special cases where the area element of the group orbits does not vanish on the past boundary of the maximal Cauchy development.