Dimensional reduction of the KaluzaKlein universe due to the production of scalar particles
Abstract
The semiclassical selfconsistent model of a minimally coupled massless scalar field in a fivedimensional homogeneous universe is examined in order to study a possible cosmological mechanism of compactification in the KaluzaKlein approach. The energymomentum tensor of real particles is calculated under the assumption that the temperature is much less than the inverse of the diameter of the internal space. It is shown that there exists a family of solutions with the internalspace diameter approaching a constant and the Friedmann expansion law for the observable dimensions at late times. All of these solutions are characterized by zero initial temperatures. The initial values of the internalspace diameter, the curvature scalar, and the scale factors are free parameters.
 Publication:

Astronomicheskii Zhurnal
 Pub Date:
 August 1989
 Bibcode:
 1989AZh....66..673V
 Keywords:

 Astronomical Models;
 Cosmology;
 Gravitation Theory;
 Scalars;
 Universe;
 Independent Variables;
 Particle Energy;
 Reduction;
 SpaceTime Functions;
 Astrophysics