Models of voids in the expanding universe. II

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Galactic Clusters, Spatial Distribution, Universe, Big Bang Cosmology, Cosmic Dust, Metric Space, Space-Time Functions, Voids

Scientific paper

Spherical voids in a Friedmann universe are modeled as underdense regions represented by the Tolman dust metric. A formula is obtained for the average density of the void in terms of the time that has elapsed since the big bang. In the case of the elliptic and parabolic Friedmann universes, the formula does not allow significant voids unless (1) the void region is born before the rest of the universe and/or (2) the matter in the void is in hyperbolic motion.

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