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For a massive scalar field with general curvature coupling we evaluate theWightman function in the geometry of two parallel branes perpendicular to theAdS boundary. On the separate branes, the field operator is constrained byRobin boundary conditions, in general, with different coefficients. In theregion between the branes their contribution to the Wightman function isexplicitly separated. By using this decomposition, the brane-induced effects onthe vacuum expectation values (VEVs) for the field squared and energy-momentumtensor are investigated. The behavior of those expectation values is studied invarious asymptotic regions of the parameters. The vacuum energy-momentum tensorin addition to the diagonal components has a nonzero off-diagonal stress.Depending on the boundary conditions and also on the distance from the branes,the vacuum energy density can be either positive or negative. The Casimirforces acting on the branes have two components. The first one corresponds tothe standard normal force and the second one is parallel to the branes andpresents the vacuum shear force. Unlike to the problem of parallel plates inthe Minkowski bulk, the normal Casimir forces acting on separate branes differif the boundary conditions on the branes are different. They can be eitherrepulsive or attractive. In a similar way, depending on the coefficients in theboundary conditions, the shear force is directed toward or from the AdSboundary. The separate components may also change their signs as functions ofthe interbrane separation. At large proper separations between the branes,compared to the AdS curvature radius, both the components of the Casimir forcesexhibit a power-law decay. For a massive scalar field this behavior is incontrast to that for the Minkowski bulk, where the decrease is exponential.

Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary