Causal simplicity and (maximal) null pseudoconvexity
General Relativity and Quantum Cosmology
2021-11-30 v1 Mathematical Physics
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.
Keywords
Cite
@article{arxiv.2105.08998,
title = {Causal simplicity and (maximal) null pseudoconvexity},
author = {Jakob Hedicke and Ettore Minguzzi and Benedict Schinnerl and Roland Steinbauer and Stefan Suhr},
journal= {arXiv preprint arXiv:2105.08998},
year = {2021}
}