A spherically symmetric self-similar universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Cosmology, Universe, Cosmic Dust, Light Transmission, Red Shift, Symmetry

Scientific paper

A spherically symmetric self-similar dust-filled universe is considered as a simple model of a hierarchical universe. Observable differences between the model in parabolic expansion and the corresponding homogeneous Einstein-de Sitter model are considered in detail. It is found that an observer at the center of the distribution has a maximum observable redshift and can in principle see arbitrarily large blueshifts. It is found to yield an observed density-distance law different from that suggested by the observations of de Vaucouleurs. The use of these solutions as central objects for Swiss-cheese vacuoles is discussed.

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