Casimir stress for concentric spheres in de Sitter space

Abstract

The Casimir stress on two concentric spherical shell in 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 is calculated for inside and outside of the shell with different backgrounds. This model may be used to study the effect of the Casimir stress on the dynamics of the domain wall formation in inflationary models of early universe.

8 pages, no figure

References in corpus (3)

• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Scalar Casimir effect for D-dimensional spherically symmetric Robin boundaries
• Casimir stress on parallel plates in de Sitter space

Cited by in corpus (24)

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• Casimir densities for a spherical shell in the global monopole background
• Casimir energy-momentum tensor for the Robin Surfaces in de Sitter Spacetime
• Null Second Order Corrections to Casimir Energy in Weak Gravitational Field
• Casimir effect of electromagnetic field in D-dimensional spherically symmetric cavities
• Electromagnetic two-point functions and Casimir densities for a conducting plate in de Sitter spacetime
• Electromagnetic Casimir effect for conducting plates in de Sitter spacetime
• Electromagnetic two-point functions and the Casimir effect in Friedmann-Robertson-Walker cosmologies
• The Casimir densities for a sphere in the Milne universe
• Casimir energy for spherical shell in Schwarzchild black hole background
• Sphere-plate Casimir interaction in (D+1)-dimensional spacetime
• Null second order corrections to Casimir energy in weak gravitational field: The Schwinger's approach
• Casimir effect in Domain Wall formation
• Casimir effect in a two dimensional signature changing spacetime
• Casimir interaction of concentric spheres at finite temperature
• Vacuum Quantum Effects for Parallel Plates Moving by Uniform Acceleration in Static de Sitter Space
• The Casimir effect for pistons with transmittal boundary conditions
• Casimir effect for a spherical shell in de Sitter spacetime with signature change
• Casimir stress on parallel plates in de Sitter space with signature change
• Casimir densities induced by a sphere in the hyperbolic vacuum of de Sitter spacetime
• Casimir stress for cylindrical shell in de-Sitter space
• Casimir densities for parallel plate in the Domain Wall background
• Casimir Forces for Robin Scalar Field on Cylindrical Shell in de Sitter Space
• Casimir effect for concentric spheres in de Sitter spacetime with signature change