The attached point topology of the abstract boundary for spacetime
dc.contributor.author | Barry, Richard | |
dc.contributor.author | Scott, Susan M | |
dc.date.accessioned | 2015-12-13T22:15:47Z | |
dc.date.issued | 2011 | |
dc.date.updated | 2015-12-11T07:20:21Z | |
dc.description.abstract | Singularities play an important role in general relativity and have been shown to be an inherent feature of most physically reasonable spacetimes. Despite this, there are many aspects of singularities that are not qualitatively or quantitatively understood. The abstract boundary construction of Scott and Szekeres has proven to be a flexible tool with which to study the singular points of a manifold. The abstract boundary construction provides a 'boundary' for any n-dimensional, paracompact, connected, Hausdorff, C∞ manifold. Singularities may then be defined as entities in this boundary - the abstract boundary. In this paper a topology is defined, for the first time, for a manifold together with its abstract boundary. This topology, referred to as the attached point topology, thereby provides us with a description of how the abstract boundary is related to the underlying manifold. A number of interesting properties of the topology are considered, and in particular, it is demonstrated that the attached point topology is Hausdorff. | |
dc.identifier.issn | 0264-9381 | |
dc.identifier.uri | http://hdl.handle.net/1885/70565 | |
dc.publisher | Institute of Physics Publishing | |
dc.source | Classical and Quantum Gravity | |
dc.title | The attached point topology of the abstract boundary for spacetime | |
dc.type | Journal article | |
local.bibliographicCitation.issue | 16 | |
local.bibliographicCitation.startpage | 15 | |
local.contributor.affiliation | Barry, Richard, College of Physical and Mathematical Sciences, ANU | |
local.contributor.affiliation | Scott, Susan M, College of Physical and Mathematical Sciences, ANU | |
local.contributor.authoremail | u4113193@anu.edu.au | |
local.contributor.authoruid | Barry, Richard, u4113193 | |
local.contributor.authoruid | Scott, Susan M, u8911327 | |
local.description.embargo | 2037-12-31 | |
local.description.notes | Imported from ARIES | |
local.identifier.absfor | 020105 - General Relativity and Gravitational Waves | |
local.identifier.absseo | 970102 - Expanding Knowledge in the Physical Sciences | |
local.identifier.ariespublication | f2965xPUB2348 | |
local.identifier.citationvolume | 28 | |
local.identifier.doi | 10.1088/0264-9381/28/16/165003 | |
local.identifier.scopusID | 2-s2.0-80051729768 | |
local.identifier.thomsonID | 000294010300018 | |
local.identifier.uidSubmittedBy | f2965 | |
local.type.status | Published Version |
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