Abstract
A space-time is both a Riemannian manifold and a causal space. These structures give restrictions on one another. In this paper we consider restrictions determined by the causal structure on the manifold's geometry. It is shown in particular that the conformai electric part of the curvature must satisfy interesting nonlocal conditions.
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Szabados, L. B.Gen. Rel. Grav. (to be published).
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Szabados, L.B. On the relation between causal structure and curvature. Gen Relat Gravit 14, 891–897 (1982). https://doi.org/10.1007/BF00756804
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DOI: https://doi.org/10.1007/BF00756804