Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-08-27
Int.J.Mod.Phys.A24:1813-1820,2009
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, 1 figure, talk presented at the 7th Alexander Friedmann International Seminar on Gravitation and Cosmology, 29 June -
Scientific paper
10.1142/S0217751X0904539X
Vacuum energy density and stresses are investigated for a scalar field with general curvature coupling parameter in (D+1)-dimensional 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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