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Generalizations of the abstract boundary singularity theorem

Whale, Benjamin; Ashley, Mike J S L; Scott, Susan M


The abstract boundary singularity theorem was first proven by Ashley and Scott. It links the existence of incomplete causal geodesics in strongly causal, maximally extended spacetimes to the existence of abstract boundary essential singularities, i.e., non-removable singular boundary points. We give two generalizations of this theorem: the first to continuous causal curves and the distinguishing condition, the second to locally Lipschitz curves in manifolds such that no inextendible locally...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Classical and Quantum Gravity
DOI: 10.1088/0264-9381/32/13/135001


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