The codimension 2 null cut locus with applications to spacetime topology

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.

arXiv comment24 pages, 1 figure. v2 accepted to JMP

References in corpus (9)

• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• Topological Black Holes in Anti-de Sitter Space
• Topological Censorship
• Singularity theorems based on trapped submanifolds of arbitrary co-dimension
• Structure of globally hyperbolic spacetimes with timelike boundary
• A Note on the Gannon-Lee Theorem
• On the Gannon-Lee Singularity Theorem in Higher Dimensions
• A note on causality conditions on covering spacetimes
• Topological censorship in spacetimes compatible with $\Lambda >0$

Cited by in corpus (1)

• Rigidity aspects of Penrose's singularity theorem