Bianchi like classification of cosmologies in conformally flat space-times

Physics – Nuclear Physics

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Scientific paper

Solutions of Killing's equations for a conformally flat line element have been found, which are seen to correspond to the conformal group of transformations consisting of the pure conformal group, the Lorentz group, translation and dilation. A classification of the line element has been carried out, singly and combining several of them. Upon comparison with expanding universes it has been found that the Friedmann universes are a subclass with other cosmologies resulting in wider subclasses.

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