Degeneracy of the b-Boundary in General Relativity
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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.
KeywordsManifold Exact Solution General Relativity Topological Property
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