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Causal Properties of Fibered Space-Time

Mathematical notes. 2019. Vol. 106. No. 1. P. 118–132.
Yakovlev E., Gonchar T.

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.

Research target: Mathematics
Language: English
Full text
DOI
Text on another site
Keywords: principal bundleG-connectionLorentzian manifoldspace-timecausality conditionглавное расслоениеG-связностьлоренцево многообразиепространство–времяусловие причинности
Publication based on the results of:
Теория динамических систем и ее приложения (2021)
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