Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 52, Issue 11, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3660684
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- GNFM of INDAM
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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. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3660684]
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