Abstract
Previous results on a geometrical foundations of a Unified Field Theory are applied to the expanding universe. In the internal space the metric is chosen so that the curvature invariant depending on the internal variables is a constant (multiplied by a parameter depending on the space variables), while the corresponding metric in the tangent space is that for a Friedmann universe of constant spatial curvature. The extra parameter is then determined from the consistency relations of the curvature in the two spaces. The co-determined equations for fields arising from geometrical considerations alone and for the radial scale function have been solved in the particular case of the field of a scalar meson, providing a possible source for the inflatory universe.
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Tauber, G.E. A geometrical approach to cosmology. Astrophys Space Sci 145, 157–162 (1988). https://doi.org/10.1007/BF00645697
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DOI: https://doi.org/10.1007/BF00645697