Generalized Robertson-Walker metrics and some of their properties

Physics

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Scientific paper

The generalized Robertson-Walker (GRW) metrics in canonical coordinates (t, χ1, χ2,...,χn) are defined. The following statements are proved to be equivalent: The GRW metrics are (a) expressible in t-independent form, (b) of constant curvature, (c) Einstein spaces. There are six, and only six, such metrics as in general relativistic cosmology.

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