Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 38, Issue 22, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6382/ac2be1
Keywords
causality theory; causal simplicity; null pseudoconvexity; static spacetime; convexity
Categories
Funding
- Uni:Docs program of the University of Vienna
- FWF [P28770, P33594]
- GNFM of INDAM
- Deutsche Forschungsgemeinschaft [SFB/TRR 191]
- Politecnico di Bari
- Department of Mechanics, Mathematics and Management
- Austrian Science Fund (FWF) [P33594] Funding Source: Austrian Science Fund (FWF)
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This paper discusses the pseudoconvexity properties in Lorentzian and Riemannian manifolds and their relationship in static spacetimes. An example is provided to illustrate a causally continuous and maximal null pseudoconvex spacetime that is not causally simple, along with its Riemannian factor that exhibits similar characteristics.
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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