Chodos and Detweiler have shown that "extra" dimensions in Kaluza-Klein theories may contract to an unobservable scale, by adopting an anisotropic Kasner-type vacuum solution of higher dimensions. However, if we consider a quantized matter field, the above anisotropic space-time may be isotropized by particle creation in the same manner with the process proposed by Zel'dovich in a conventional four-dimensional space-time. In this paper, the isotropization process in higher dimensions is computed by generalizing the method given by Hu and Parker for a conventional universe. It would be concluded that cosmological dimensional reduction does not occur.
ASJC Scopus subject areas
- Nuclear and High Energy Physics