Generalizations of the abstract boundary singularity theorem

dc.contributor.authorWhale, Benjamin
dc.contributor.authorAshley, Mike J S L
dc.contributor.authorScott, Susan M
dc.date.accessioned2016-06-14T23:20:02Z
dc.date.issued2015
dc.date.updated2016-06-14T08:45:09Z
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.identifier.issn0264-9381
dc.identifier.urihttp://hdl.handle.net/1885/103173
dc.publisherInstitute of Physics Publishing
dc.sourceClassical and Quantum Gravity
dc.titleGeneralizations of the abstract boundary singularity theorem
dc.typeJournal article
local.bibliographicCitation.issue13
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.contributor.authoremailu8911327@anu.edu.au
local.contributor.authoruidWhale, Benjamin, u4041897
local.contributor.authoruidScott, Susan M, u8911327
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor020100 - ASTRONOMICAL AND SPACE SCIENCES
local.identifier.absfor020502 - Lasers and Quantum Electronics
local.identifier.absseo970102 - Expanding Knowledge in the Physical Sciences
local.identifier.ariespublicationU3488905xPUB5444
local.identifier.citationvolume32
local.identifier.doi10.1088/0264-9381/32/13/135001
local.identifier.scopusID2-s2.0-84932636163
local.identifier.uidSubmittedByU3488905
local.type.statusPublished Version

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