New Galilean spacetimes to model an expanding universe
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Servicio de Publicaciones de la Universidad de Oviedo
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We introduce a new family relevant in the context of a generalized Newton-Cartan Theory: the Galilean Generalized Robertson-Walker spacetimes. We study its geometrical structure and analyse the completeness of its inextensible free falling observers. Additionally, we find some sufficient geometric conditions which guarantee a global splitting of a Galilean spacetime as a Galilean Generalized Robertson-Walker spacetime.
We introduce a new family relevant in the context of a generalized Newton-Cartan Theory: the Galilean Generalized Robertson-Walker spacetimes. We study its geometrical structure and analyse the completeness of its inextensible free falling observers. Additionally, we find some sufficient geometric conditions which guarantee a global splitting of a Galilean spacetime as a Galilean Generalized Robertson-Walker spacetime.
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The author was partially supported by Spanish MINECO and ERDF project MTM2016-78807-C2-1-P.
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