Conformal Factors of Generalized Cosmologies

Physics

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Scientific paper

We present a study of the properties of radial conformal Killing fields (RCKF) in conformally flat space-times, pointing out its interest in kinematical cosmology.
i) Robertson-Walker space-times are characterized as those conformally flat metrics admitting a geodesic RCKF.
ii) The conformal factor of space-times that admit a RCKF with homogeneous expansion is obtained.
iii) The existence of a radial conformal motion with orthogonal 3-spaces of constant sectional curvature is analyzed as a cosmological hypothesis.

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