Abstract
We explain the general fact that Friedmann models in Kaluza-Klein cosmologies, in which ordinary space-time is supplemented by internal factor spaces, are equivalent to the motion of tensorial-mass particle in a scalar field. We find exact solutions for an important class of three-component matter in the case of one internal space of dimensiond. The three components in question are the curvature of the internal space, the Zeldovich matter, and dust of the protoradiation type. The method includes one-component solutions for all the different models of compactification discussed so far.
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Liebscher, DE., Bleyer, U. Kaluza-Klein cosmology: Phenomenology and exact solutions with three-component matter. Gen Relat Gravit 17, 989–999 (1985). https://doi.org/10.1007/BF00773835
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DOI: https://doi.org/10.1007/BF00773835