No to censorship! Comment on the Friedman-Schleich-Witt theorem

TL;DR

This paper critically examines the proof of the Topological Censorship theorem, identifying a significant gap that suggests the theorem's assumptions may need revision to account for certain spacetime classes.

Contribution

It highlights a crucial lacuna in the existing proof of the Topological Censorship theorem, proposing that the theorem's scope may require revision.

Findings

Identifies a gap in the proof of the Topological Censorship theorem

Suggests the theorem's assumptions may need revision

Implications for the classification of permissible spacetimes

Abstract

I show that there is a significant lacuna in the proof of the theorem known as "Topological Censorship" (a theorem forbidding a solution of Einstein's equations to have some topological features, such as traversable wormholes, without violating the averaged null energy condition). To fill the lacuna one would probably have to revise the class of spacetimes for which the theorem is formulated.