Casimir effect in de Sitter spacetime with compactified dimension

Details Casimir effect in de Sitter spacetime with compactified dimension Casimir effect in de Sitter spacetime with compactified dimension

2007-07-22

arxiv.org/abs/0707.3240v2

Phys.Lett.B659:367-374,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 5 figures, Figures for a minimally coupled field and references added

Scientific paper

10.1016/j.physletb.2007.10.050

We investigate the Hadamard function, the vacuum expectation values of the field square and the energy-momentum tensor of a scalar field with general curvature coupling parameter in de Sitter spacetime compactified along one of spatial dimensions. By using the Abel-Plana summation formula, we have explicitly extracted from the vacuum expectation values the part due to the compactness of the spatial dimension. The topological part in the vacuum energy-momentum tensor violates the local de Sitter symmetry and dominates in the early stages of the cosmological evolution. At late times the corresponding vacuum stresses are isotropic and the topological part corresponds to an effective gravitational source with barotropic equation of state.

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