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- Title
The Stability of Abstract Boundary Essential Singularities.
- Authors
Ashley, Michael
- Abstract
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 C r-stability of geodesic incompleteness allows proof of the stability of these singularities. Here I present this result stating the conditions under which essential singularities are C1-stable against perturbations of the metric.
- Publication
General Relativity & Gravitation, 2002, Vol 34, Issue 10, p1625
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1023/A:1020168106488