Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..31..333w&link_type=abstract
Astrophysics and Space Science, vol. 31, Dec. 1974, p. 333-339.
Astronomy and Astrophysics
Astrophysics
Astronomical Models, Cosmology, Dynamic Stability, Galactic Clusters, Relativistic Effects, Cosmic Dust, Dark Matter, Density Distribution, Mass Distribution, Mathematical Models, Pressure Effects, Relativistic Theory, Schwarzschild Metric
Scientific paper
With the object of theoretically predicting clusters to be as empirically observed with regard to mass, density and size, a model of non-compact clusters is obtained by adopting the Schwarzschild interior metric inside the cluster, with a Robertson/Walker metric outside. Implications include that there is no scope for the postulation of large amounts of dark matter in clusters; that the mass density of the universe is therefore close to that given by the luminous matter; thus, that the universe is open. Metric conditions, conditions on the clusters, and cosmological parameters and clusters are dealt with separately.
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