Abstract
A space-time has a local extension through a point on its b-boundary if and only if an appropriate number of covariant derivatives of the Riemann tensor have limiting values on a curve ending at the boundary-point, measured in a parallely propagated tetrad. The extension has the same differentiability as the space-time if the curve is “reasonable” in a well-defined sense.
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Work supported by a fellowship under the European Programme of the Royal Society at the I. Institut für theoretische Physik, University of Hamburg.
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Clarke, C.J.S. Local extensions in singular space-times. Commun.Math. Phys. 32, 205–214 (1973). https://doi.org/10.1007/BF01645592
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DOI: https://doi.org/10.1007/BF01645592