Inflationary limits on the size of compact extra space

Abstract

© 2019 World Scientific Publishing Company. 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 creation of stable excitations of scalar field as the result of the extra metric evolution.