Generalizations of the abstract boundary singularity theorem
Date
2015
Authors
Whale, Benjamin
Ashley, Mike J S L
Scott, Susan M
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Volume Title
Publisher
Institute of Physics Publishing
Abstract
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 Lipschitz curve is totally imprisoned. To do this we extend generalized affine parameters from C1 curves to locally Lipschitz curves.
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Source
Classical and Quantum Gravity
Type
Journal article
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DOI
10.1088/0264-9381/32/13/135001
Restricted until
2037-12-31