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Extensions of the Curzon metric

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Abstract

By examining the behaviour of geodesics approaching the singularity of the Curzon solution, it is shown that the metric is capable of being extended in such a way that almost all such geodesics are complete. There are an infinite number of possible extensions. None are analytic, but all areC ∞.

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References

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Authors and Affiliations

  1. Department of Mathematical Physics, University of Adelaide, Adelaide, South Australia

    P. Szekeres & F. H. Morgan

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  1. P. Szekeres
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  2. F. H. Morgan
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Szekeres, P., Morgan, F.H. Extensions of the Curzon metric. Commun.Math. Phys. 32, 313–318 (1973). https://doi.org/10.1007/BF01645612

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  • DOI: https://doi.org/10.1007/BF01645612

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