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Generalizations of the abstract boundary singularity theorem

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

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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]

dc.contributor.authorWhale, Benjamin
dc.contributor.authorAshley, Mike J S L
dc.contributor.authorScott, Susan M
dc.date.accessioned2016-06-14T23:20:02Z
dc.identifier.issn0264-9381
dc.identifier.urihttp://hdl.handle.net/1885/103173
dc.description.abstractThe 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.
dc.publisherInstitute of Physics Publishing
dc.sourceClassical and Quantum Gravity
dc.titleGeneralizations of the abstract boundary singularity theorem
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume32
dc.date.issued2015
local.identifier.absfor020100 - ASTRONOMICAL AND SPACE SCIENCES
local.identifier.absfor020502 - Lasers and Quantum Electronics
local.identifier.ariespublicationU3488905xPUB5444
local.type.statusPublished Version
local.contributor.affiliationWhale, Benjamin, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationAshley, Mike J S L, KPMG Advisory
local.contributor.affiliationScott, Susan M, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue13
local.identifier.doi10.1088/0264-9381/32/13/135001
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
dc.date.updated2016-06-14T08:45:09Z
local.identifier.scopusID2-s2.0-84932636163
CollectionsANU Research Publications

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