Communications in Mathematical Physics

, Volume 208, Issue 2, pp 331–353 | Cite as

Degeneracy of the b-Boundary in General Relativity

  • Fredrik Ståhl


The b-boundary construction by B. Schmidt is a general way of providing a boundary to a manifold with connection [12]. 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 [3], 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.


Manifold Exact Solution General Relativity Topological Property 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Fredrik Ståhl
    • 1
  1. 1.Department of Mathematics, University of Umeå, 90187 Umeå, Sweden. E-mail: Fredrik.Stahl@math.umu.seSE

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