Inflationary limits on the size of compact extra space

Abstract

We study restrictions imposed on the parameters of the Kaluza-Klein extra space supplied by the standard inflationary models. It is shown that the size of the extra space cannot be larger than 10-27cm and the D-dimensional Planck mass should be larger than 1013GeV. The validity of these estimates is discussed. We also study the creation of stable excitations of scalar field as the result of the extra metric evolution.

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