Vacuum polarisation for scalar field in anisotropic multi-dimensional cosmology.

Details Vacuum polarisation for scalar field in anisotropic multi-dimensional cosmology. Vacuum polarisation for scalar field in anisotropic multi-dimensional cosmology.

Aug 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990temf...84..304d&link_type=abstract

Teor. Mat. Fiz., Vol. 84, No. 2, p. 304 - 313

Mathematics

Logic

Cosmological Models

Scientific paper

An original method is suggested for calculating the semiclassical vacuum effective action for scalar field in multi-dimensional nonstationary in all directions Universe with the metric of the generalised Bianchi I-type and toroidally compactified (some or all) spacelike dimensions. It is pointed out that the number of the terms which can be preserved in the adiabatic expansion is restricted and proportional to the open subspace dimension because of the «zero mode» presence which leads also to the appearance of logarithmic terms. As an illustration, examples with three-dimensional open subspace and one or two compact extra dimensions are considered.

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