Remark on the strength of singularities with a C^0 metric

TL;DR

This paper discusses a specific spacetime with a C^0 metric that contains a spacelike curvature singularity, demonstrating that the singularity is weak despite previous assumptions of strength.

Contribution

It proves that a previously constructed spacetime with a C^0 metric and a curvature singularity actually features a weak singularity, challenging prior expectations.

Findings

The singularity is weak despite being curvature singular.

The spacetime admits a regular C^0 metric.

The result revises understanding of singularity strength in such spacetimes.

Abstract

Recently Nolan constructed a spherically-symmetric spacetime admitting a spacelike curvature singularity with a regular C^0 metric. We show here that this singularity is in fact weak.