Degeneracy of the b-boundary in general relativity
1999 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 208, no 2, 331-353 p.Article in journal (Refereed) Published
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
Springer, 1999. Vol. 208, no 2, 331-353 p.
IdentifiersURN: urn:nbn:se:umu:diva-96699DOI: 10.1007/s002200050761OAI: oai:DiVA.org:umu-96699DiVA: diva2:766288