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Causal simplicity and (maximal) null pseudoconvexity (2105.08998v1)

Published 19 May 2021 in gr-qc, math-ph, and math.MP

Abstract: We consider pseudoconvexity properties in Lorentzian and Riemannian manifolds and their relationship in static spacetimes. We provide an example of a causally continuous and maximal null pseudoconvex spacetime that fails to be causally simple. Its Riemannian factor provides an analogous example of a manifold that is minimally pseudoconvex, but fails to be convex.

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