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Scalar field instability in multi‐dimensional cosmology
Author(s) -
Bleyer U.,
Zhuk A.
Publication year - 1995
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2103160402
Subject(s) - physics , scalar field , cosmology , instability , scalar curvature , curvature , conformal map , classical mechanics , gravitation , scalar (mathematics) , mathematical physics , general relativity , scalar theories of gravitation , cosmological constant , theoretical physics , classical field theory , quantum mechanics , mathematical analysis , geometry , mathematics
The scalar field theory on the background of cosmological models with n ( n ≥ 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.