Abstract
The Casimir stress on two concentric spherical shells in the de Sitter background for massless scalar field is calculated. The scalar field satisfies Dirichlet boundary conditions on the spheres. The metric is written in conformally flat form to make maximum use of Minkowski space calculations. Then the Casimir stress for inside and outside the shell with different backgrounds is calculated. This model may be used to study the effect of the Casimir stress on the dynamics of domain wall formation in inflationary models of the early universe.
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