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Singular points and projective limits in relativity

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Abstract

We describe a modification of Schmidt's b-boundary for a space-time, using a projective limit construction. The resulting boundary provides endopoints for all incomplete inextensible curves that are not totally or partially trapped, and every boundary point is an endpoint of such a curve. Boundary points are always Hausdorff separated from interior points, and the construction gives separate past and future singularities in thek=+1, Λ=0, Friedmann cosmology.

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Authors and Affiliations

  1. Department of Mathematics, University of Lancaster, LA1 4YL, Lancaster

    M. J. Slupinski

  2. Department of Mathematics, University of York, YO1 5DD, York, UK

    C. J. S. Clarke

Authors
  1. M. J. Slupinski
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  2. C. J. S. Clarke
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Communicated by R. Geroch

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Slupinski, M.J., Clarke, C.J.S. Singular points and projective limits in relativity. Commun.Math. Phys. 71, 289–297 (1980). https://doi.org/10.1007/BF01197296

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  • DOI: https://doi.org/10.1007/BF01197296

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