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Degeneracy of the b-boundary in General Relativity
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
1999 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, Vol. 208, no 1999, 331-353 p.Article in journal (Refereed) Published
Abstract [en]

The b-boundary construction by B. Schmidt is a general way of providing a boundary to a manifold with connection. It has been shown to have undesirable topological properties however. C. J. S. Clarke gave a result showing that for space-times, non-Hausdorffness is to be expected in general, but the argument contains some errors. We show that under somewhat different conditions on the curvature, the b-boundary will be non-Hausdorff, and illustrate the degeneracy by applying the conditions to some well known exact solutions of general relativity.

Place, publisher, year, edition, pages
1999. Vol. 208, no 1999, 331-353 p.
Keyword [en]
general relativity, b-boundary, singularity, singular holonomy, non-Hausdorff
National Category
Mathematics Natural Sciences
Identifiers
URN: urn:nbn:se:miun:diva-1595DOI: 10.1007/s002200050761Local ID: 420OAI: oai:DiVA.org:miun-1595DiVA: diva2:26627
Available from: 2008-09-30 Created: 2008-09-30 Last updated: 2011-04-19Bibliographically approved

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CiteExportLink to record
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