Inhomogeneous Cosmological Models I: Conformal Homogeneity.

by Dominic G. B. Edelen

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Inhomogeneous cosmological models are obtained by a conformal transformation of the line element of the previous homogeneous models. While a detailed correspondence between the predicted properties of the models and observations remains to be demonstrated, the models exhibit a number of features not phenomenologically different from recent observational findings. Mass distributions can be found that reflect actual galactic clustering. For such clusters, the cluster centers have the same predicted distance--velocity relations as found in the homogeneous models and the same red shift relations to within terms of second order. In all cases, dispersion velocities relative to the cluster centers are exhibited. If the cluster centers are assumed to be equally spaced in space, their observed pattern will exhibit a uniform foreshortening for the more distant ones while the nearer objects will show nonuniform foreshortening. Deviations from a regular pattern thus show up in the near field and become asymptotically regular at large distances. 28 pp.

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