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arXiv · 2105.08998

Causal simplicity and (maximal) null pseudoconvexity

Jakob Hedicke·Ettore Minguzzi·Benedict Schinnerl·Roland Steinbauer·Stefan Suhr
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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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Jakob Hedicke, Ettore Minguzzi, Benedict Schinnerl, Roland Steinbauer, Stefan Suhr. 2021-05-19. Causal simplicity and (maximal) null pseudoconvexity. https://doi.org/10.1088/1361-6382%2Fac2be1

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