×

Casimir effect in toroidally compactified de Sitter spacetime. (English) Zbl 1170.81421

Summary: 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.

MSC:

81T20 Quantum field theory on curved space or space-time backgrounds
81T05 Axiomatic quantum field theory; operator algebras
81T99 Quantum field theory; related classical field theories
PDFBibTeX XMLCite
Full Text: DOI arXiv

References:

[1] Linde A., JCAP 0410 pp 004–
[2] DOI: 10.1016/j.physletb.2007.10.050 · Zbl 1246.81178
[3] DOI: 10.1103/PhysRevD.77.124010
[4] DOI: 10.1088/0264-9381/25/16/165012 · Zbl 1147.83011
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.