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. 
@article{MZM_2019_106_1_a10,
     author = {E. I. Yakovlev and T. A. Gonchar},
     title = {Causal {Properties} of {Fibered} {Space-Time}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {115--133},
     publisher = {mathdoc},
     volume = {106},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2019_106_1_a10/}
}
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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/