Scalar field instability in multidimensional cosmology
Abstract
The scalar field theory on the background of cosmological models with n(n greater than or = 1) spaces of constant curvature is considered. We take the integrable case of Ricci flat internal spaces. The coupling between the scalar and the gravitational fields includes the minimal coupling as well as the conformal case. In the ground state of the scalar field we find the conditions for vacuum instability realized for most of the possible solutions to Einstein's equations if the coupling parameter takes appropriate values. For the excited states of the scalar field we show the induction of massive modes and discuss their properties.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 December 1994
 Bibcode:
 1994STIN...9631888B
 Keywords:

 Cosmology;
 Field Theory (Physics);
 Stability;
 SpaceTime Functions;
 Gravitation;
 Mathematical Models;
 Einstein Equations;
 Scalars;
 Astrophysics