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.
Causal simplicity and (maximal) null pseudoconvexity / Hedicke, J; Minguzzi, E; Schinnerl, B; Steinbauer, R; Suhr, S. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - STAMPA. - 38:(2021), pp. 227002-1-227002-12. [10.1088/1361-6382/ac2be1]
Causal simplicity and (maximal) null pseudoconvexity
Minguzzi, E
;
2021
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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