Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-06-09
Int. J. Mod. Phys. A 26 (2011) 3833
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 2 figures, talk presented at the 8th Alexander Friedmann International Seminar on Gravitation and Cosmology, 30 May
Scientific paper
10.1142/S0217751X11054292
The vacuum expectation value of the energy-momentum tensor and the Casimir forces are investigated for a massive scalar field with an arbitrary curvature coupling parameter in the geometry of two parallel plates, on the background of de Sitter spacetime. The field is prepared in the Bunch--Davies vacuum state and is constrained to satisfy Robin boundary conditions on the plates. The vacuum energy-momentum tensor is non-diagonal, with the off-diagonal component corresponding to the energy flux along the direction normal to the plates. It is shown that the curvature of the background spacetime decisively influences the behavior of the Casimir forces at separations larger than the curvature radius of de Sitter spacetime. In dependence of the curvature coupling parameter and the mass of the field, two different regimes are realized, which exhibit monotonic or oscillatory behavior of the forces. The decay of the Casimir force at large plate separation is shown to be power-law, with independence of the value of the field mass.
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