Abstract
Recent works have studied the classical cosmology of the early Universe in Kaluza-Klein models considered as product spaces. In this paper, the growth of cosmological perturbations is examined as a natural extension of established works concerning three-dimensional cases. Appropriate gauge-invariant quantities are defined, and the perturbed field equations are expressed in terms of these. Leading-order solutions are derived for the region in which most of the growth occurs. Difficulties with the models and the sensitivity to model variations are discussed.
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