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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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