Homogeneous geodesics and natural reductivity of homogeneous Gödel-type spacetimes

Homogeneous geodesics and natural reductivity of homogeneous Gödel-type spacetimes

We prove that all geodesics of homogeneous Gödel-type metrics are homogeneous. This result makes natural to ask whether these spaces are naturally reductive, and a positive answer is provided for all of them through the study of their homogeneous Lorentzian structures.

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Veröffentlicht in:Journal of geometry and physics 2021-01, Vol.159, p.103919, Article 103919
Hauptverfasser: Calvaruso, Giovanni, Zaeim, Amirhesam
Format: Artikel
Sprache:eng
Schlagworte:
g.o. manifolds
g.o. spaces
Homogeneous geodesics
Naturally reductive spaces
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Beschreibung
Zusammenfassung:We prove that all geodesics of homogeneous Gödel-type metrics are homogeneous. This result makes natural to ask whether these spaces are naturally reductive, and a positive answer is provided for all of them through the study of their homogeneous Lorentzian structures.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2020.103919