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The Stability of Abstract Boundary Essential Singularities

Ashley, Michael

Description

The abstract boundary has, in recent years, proved a general and flexible way to define the singularities of space-time. In this approach an essential singularity is a non-regular boundary point of an embedding which is accessible by a chosen family of curves within finite parameter distance. Ashley and Scott proved the first theorem relating essential singularities in strongly causal space-times to causal geodesic incompleteness. Linking this with the work of Beem on the C1-stability of...[Show more]

CollectionsANU Research Publications
Date published: 2002
Type: Journal article
URI: http://hdl.handle.net/1885/92200
Source: General Relativity and Gravitation
DOI: 10.1023/A:1020168106488

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