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The Casimir forces on two parallel plates moving by uniform properacceleration in static de Sitter background due to conformally coupled masslessscalar field satisfying Dirichlet boundary conditions on the plates isinvestigated. Static de Sitter space is conformally related to the Rindlerspace, as a result we can obtain vacuum expectation values of energy-momentumtensor for conformally invariant field in static de Sitter space from thecorresponding Rindler counterpart by the conformal transformation.Comment: 10 pages, no figures, accepted for publication in Int. J. Mod. Phys.

VACUUM QUANTUM EFFECT FOR PARALLEL PLATES MOVING BY UNIFORM ACCELERATION IN STATIC DE SITTER SPACE