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.
Homogeneous geodesics and natural reductivity of homogeneous Gödel-type spacetimes
Calvaruso G.;
2021-01-01
Abstract
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.File in questo prodotto:
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