Geodesic
Causal Properties of Fibered Space-Time
Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 115-133.

Voir la notice de l'article provenant de la source Math-Net.Ru

On the space of a principal bundle, a Lorentzian metric and a time orientation are given that are invariant with respect to the action of the structure group. These objects form a fibered space-time and, in the case of spacelike fibers, induce the same structures on the base. The following causality conditions are discussed: chronology, causality, stable and strong causality, and global hyperbolicity. It is proved that if the base space-time satisfies one of the above conditions, then so does the fibered space-time.
Keywords: principal bundle, $G$-connection, Lorentzian manifold, space-time, causality condition. 
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E. I. Yakovlev; T. A. Gonchar. Causal Properties of Fibered Space-Time. Matematičeskie zametki, Tome 106 (2019) no. 1, pp. 115-133. http://geodesic.mathdoc.fr/item/MZM_2019_106_1_a10/

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