Physics
Scientific paper
Dec 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994stin...9631888b&link_type=abstract
Technical Report, Astrophysikalisches Inst. Potsdam, Germany
Physics
Cosmology, Field Theory (Physics), Stability, Space-Time Functions, Gravitation, Mathematical Models, Einstein Equations, Scalars
Scientific paper
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.
Bleyer Ulrich
Zhuk Alexander
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