Generalizations of the abstract boundary singularity theorem
dc.contributor.author | Whale, Benjamin | |
dc.contributor.author | Ashley, Mike J S L | |
dc.contributor.author | Scott, Susan M | |
dc.date.accessioned | 2016-06-14T23:20:02Z | |
dc.date.issued | 2015 | |
dc.date.updated | 2016-06-14T08:45:09Z | |
dc.description.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. | |
dc.identifier.issn | 0264-9381 | |
dc.identifier.uri | http://hdl.handle.net/1885/103173 | |
dc.publisher | Institute of Physics Publishing | |
dc.source | Classical and Quantum Gravity | |
dc.title | Generalizations of the abstract boundary singularity theorem | |
dc.type | Journal article | |
local.bibliographicCitation.issue | 13 | |
local.contributor.affiliation | Whale, Benjamin, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Ashley, Mike J S L, KPMG Advisory | |
local.contributor.affiliation | Scott, Susan M, College of Physical and Mathematical Sciences, ANU | |
local.contributor.authoremail | u8911327@anu.edu.au | |
local.contributor.authoruid | Whale, Benjamin, u4041897 | |
local.contributor.authoruid | Scott, Susan M, u8911327 | |
local.description.embargo | 2037-12-31 | |
local.description.notes | Imported from ARIES | |
local.identifier.absfor | 020100 - ASTRONOMICAL AND SPACE SCIENCES | |
local.identifier.absfor | 020502 - Lasers and Quantum Electronics | |
local.identifier.absseo | 970102 - Expanding Knowledge in the Physical Sciences | |
local.identifier.ariespublication | U3488905xPUB5444 | |
local.identifier.citationvolume | 32 | |
local.identifier.doi | 10.1088/0264-9381/32/13/135001 | |
local.identifier.scopusID | 2-s2.0-84932636163 | |
local.identifier.uidSubmittedBy | U3488905 | |
local.type.status | Published Version |
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