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Degeneracy of the b-boundary in General Relativity

Fredrik Ståhl
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Abstract

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.

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Fredrik Ståhl. 1999-06-05. Degeneracy of the b-boundary in General Relativity. https://doi.org/10.1007/s002200050761

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