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arXiv · 1108.5120

Global hyperbolicity is stable in the interval topology

J. J. Benavides Navarro·E. Minguzzi
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Abstract

We prove that global hyperbolicity is stable in the interval topology on the spacetime metrics. We also prove that every globally hyperbolic spacetime admits a Cauchy hypersurface which remains Cauchy under small perturbations of the spacetime metric. Moreover, we prove that if the spacetime admits a complete timelike Killing field, then the light cones can be widened preserving both global hyperbolicity and the Killing property of the field.

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J. J. Benavides Navarro, E. Minguzzi. 2011-12-04. Global hyperbolicity is stable in the interval topology. https://doi.org/10.1063/1.3660684

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