Vacuum quantum effect for curved boundaries in static Robertson–Walker spacetime

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two curved boundaries in k = −1 static Robertson–Walker spacetime is investigated. We assume that the scalar field satisfies the Dirichlet boundary condition on the boundaries. k = −1 Robertson–Walker space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in Robertson–Walker space from the corresponding Rindler counterpart by the conformal transformation. E-mail: [email protected] E-mail: [email protected]