On the relation between causal structure and curvature

Details On the relation between causal structure and curvature On the relation between causal structure and curvature

Oct 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14..891s&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 10, pp.891-897

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Scientific paper

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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