Abstract
In this paper we prove that if there is a naked singularity, then there will be some null geodesic, reaching ℐ+ from the singularity, which does not satisfy the strong curvature condition regardless of whether causality is violated or not. Assuming that a naked singularity is a strong curvature singularity only sufficiently far to the future, we prove that strong causality is violated arbitrarily close to ℐ+.
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Work partially supported by the Nuffield Foundation and by the Consiglio Nazionale delle Ricerche of Italy under contract N.CT 81.00532.02.
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Clarke, C.J.S., De Felice, F. Globally noncausal space-times. II. Naked singularities and curvature conditions. Gen Relat Gravit 16, 139–148 (1984). https://doi.org/10.1007/BF00762443
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DOI: https://doi.org/10.1007/BF00762443