The codimension 2 null cut locus with applications to spacetime topology

TL;DR

This paper reviews and extends results on spacetime topology using properties of the codimension 2 null cut locus, considering cases with and without horizons, including asymptotically AdS spacetimes.

Contribution

It introduces new insights into spacetime topology by analyzing the codimension 2 null cut locus, especially in the context of horizons and AdS spacetimes.

Findings

Extended existing results on null cut locus properties

Analyzed topological implications in spacetimes with horizons

Applied methods to asymptotically AdS spacetimes

Abstract

In this paper we review and extend some results in the literature pertaining to spacetime topology while naturally utilizing properties of the codimension 2 null cut locus. Our results fall into two classes, depending on whether or not one assumes the presence of horizons. Included among the spacetimes we consider are those that apply to the asymptotically (locally) AdS setting.