Causal simplicity and (maximal) null pseudoconvexity

Causal simplicity and (maximal) null pseudoconvexity

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...

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Veröffentlicht in:Classical and quantum gravity 2021-11, Vol.38 (22), p.227002, Article 227002
Hauptverfasser: Hedicke, J, Minguzzi, E, Schinnerl, B, Steinbauer, R, Suhr, S
Format: Artikel
Sprache:eng
Schlagworte:
Astronomy & Astrophysics
causal simplicity
causality theory
convexity
null pseudoconvexity
Physical Sciences
Physics
Physics, Multidisciplinary
Physics, Particles & Fields
Quantum Science & Technology
Science & Technology
static spacetime
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Zusammenfassung: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ac2be1