Mathematics – Logic
Scientific paper
Nov 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010vaoa.conf..260s&link_type=abstract
"Evolution of Cosmic Objects through their Physical Activity, Proceedings of the Conference dedicated to Viktor Ambartsumian's 1
Mathematics
Logic
Scientific paper
Vacuum energy density and stresses are investigated for a scalar field with general curvature coupling parameter in de Sitter spacetime with an arbitrary number of toroidally compactified spatial dimensions. The corresponding expectation values are presented in the form of the sum of the vacuum expectation values in uncompactified dS spacetime and the part induced by the non-trivial topology. In the early stages of the cosmological evolution the topological parts dominate. In this limit the behavior of the Casimir densities does not depend on the curvature coupling parameter and coincides with that for a conformally coupled massless field. At late stages of the cosmological expansion the expectation values are dominated by the part corresponding to uncompactified dS spacetime. The vanishing of the topological parts is monotonic or oscillatory in dependence of the mass and the curvature coupling parameter of the field.
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