Abstract

We study the dynamical evolution of a seven-dimensional, homogeneous, cosmological model. Anisotropy is prevailed all over the spatial dimensions with the topology S3 × S3, and leads to repetitious (nonchaotic) oscillations of the scale factors. The universe evolves from an initial Kasner phase to a final one, from which the dimensional reduction results. We pay attention to the effect of radiation-energy density and discuss the isotropization of ordinary dimensions through the stabilization of extra dimensions at the Kaluza-Klein radius.

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