Lorentzian manifolds with causal Killing vector field: causality and geodesic connectedness

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AuteurATINDOGBE, COMLAN CYRIAQUE
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2020
ResumeWe prove that a compact Lorentzian manifold (M, g) admitting a causal Killing vector field is totally vicious or it contains a compact achronal Killing horizon. In particular a compact spacetime which satisfies the null generic condition and admits a causal Killing vector field is totally vicious. If in addition, its universal Lorentzian covering is globally hyperbolic then it is geodesically connected. In the non-compact case, we prove that a chronological spacetime admitting a complete causal Killing vector field, a smooth spacelike partial Cauchy hypersurface S and satisfying the null generic condition is stably causal. If additionally S is compact then the spacetime is globally hyperbolic. We also determine the geodesic connectedness in this case.
DOI10.1007/s10231-020-00948-9
Autre identifiantBECDB-10258
URIhttps://dspace.uac.bj/handle/123456789/9118
Languefr
Fait partie deAnnali di Matematica Pura ed Applicata
SujetCausality · Killing horizons · Causal Killing vector field
TitreLorentzian manifolds with causal Killing vector field: causality and geodesic connectedness
TypeArticle

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