A matter and radiation filled universe - Consequences of the astronomical observations

Physics

Scientific paper

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Astronomical Models, Cosmology, Einstein Equations, Space Density, Universe, Density (Mass/Volume), Field Theory (Physics), Graphs (Charts), Red Shift

Scientific paper

The Einstein field equations are solved for a Friedmann universe containing matter and radiation in an arbitrary ratio and characterized by a lack of interaction between the two constituents. The Friedmann equation is obtained in terms of the present total mean density and radius of curvature of the Universe as well as the ratio of the matter density to the total density at the present time (mu) and a cosmological parameter (alpha) describing the curvature. Possibilities are examined for determining mu and alpha on the basis of the Hubble relation, galaxy counts, and diameters of galaxies. It is shown that both alpha and mu can be determined if the age and the mean matter density of the Universe are known. It is noted that a matter universe can be distinguished from a radiation universe by a combination of several astronomical methods.

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