Roads to topological censorship

TL;DR

This paper reviews key aspects of topological censorship in spacetime physics, proposing multiple hypothesis sets that enable proofs of topological censorship theorems under specific conditions.

Contribution

It introduces five alternative hypotheses that facilitate proving topological censorship theorems for certain classes of spacetimes.

Findings

Established five new sets of hypotheses for topological censorship proofs

Demonstrated conditions under which topological censorship holds

Extended understanding of spacetime topologies with conformal completions

Abstract

In this note we review some aspects of topological censorship. We present several (actually five) alternative sets of hypotheses which allow the proof of a topological censorship theorem for spacetimes with conformal completions at infinity and vanishing cosmological constant.