A Generalization of the Singularity Theorem of Hawking & Penrose to SpaceTimes with Causality Violations
Abstract
I prove a generalization of the singularity theorem of Hawking & Penrose. The generalization is (as far as I am aware) the only one that preserves the original idea of this theorem. By quoting an example of Newman I show that the generalization is unlikely to be improved.
 Publication:

Proceedings of the Royal Society of London Series A
 Pub Date:
 December 1990
 DOI:
 10.1098/rspa.1990.0143
 Bibcode:
 1990RSPSA.431..451K