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Cauchy and uniform temporal functions of globally hyperbolic cone fields

Suhr, Stefan; Bernard, Patrick (2020), Cauchy and uniform temporal functions of globally hyperbolic cone fields, Proceedings of the American Mathematical Society, 148, p. 4951-4966. 10.1090/proc/15106

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Type
Article accepté pour publication ou publié
Date
2020
Journal name
Proceedings of the American Mathematical Society
Volume
148
Publisher
American Mathematical Society
Published in
Paris
Pages
4951-4966
Publication identifier
10.1090/proc/15106
Metadata
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Author(s)
Suhr, Stefan
Bernard, Patrick
Abstract (FR)
Nous étudions une classe de fonctions temps, appelées fonctions temporales uniformes, adans le contexte général d'un champ de cone fermé globalement hyperbolique. Nous prouvons des résultats d'existence pour ces fonctions temporales uniformes, et nous prouvons la densité des fonctions temporales uniformes dans les fonctions causales de Cauchy.
Abstract (EN)
We study a class of time functions called uniform temporal functions in the general context of globally hyperbolic closed cone fields. We prove some existence results for uniform temporal functions, and prove the density of uniform temporal functions in Cauchy causal functions.
Subjects / Keywords
fonctions temporales uniformes; cone fermé globalement hyperbolique; uniform temporal functions; globally hyperbolic cone fields

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