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.

Global hyperbolicity is stable in the interval topology / Minguzzi, Ettore; Benavides Navarro, J. J.. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - STAMPA. - 52:(2011), pp. 112504-1-112504-8. [10.1063/1.3660684]

Global hyperbolicity is stable in the interval topology

MINGUZZI, ETTORE;
2011

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.
2011
52
112504-1
112504-8
Minguzzi, Ettore; Benavides Navarro, J. J.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/587303
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