Casimir Effect for Spherical Shell in de Sitter Space

Abstract

The Casimir stress on a spherical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the shell is calculated. The metric is written in conformally flat form. Although the metric is time dependent no particles are created. The Casimir stress is calculated for inside and outside of the shell with different backgrounds corresponding to different cosmological constants. The detail dynamics of the bubble depends on different parameter of the model. Specifically, bubbles with true vacuum inside expand if the difference in the vacuum energies is small, otherwise they collapse.

9 pages, submitted to Class. Quantum Grav

References in corpus (6)

• Casimir energy in the MIT bag model
• The generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
• Simple method for calculating the Casimir energy for sphere
• Vector Casimir effect for a D-dimensional sphere
• Trace anomaly and Casimir effect
• Casimir driven evolution of the universe

Cited by in corpus (25)

• Energy-momentum tensor for a Casimir apparatus in a weak gravitational field
• Casimir stress for concentric spheres in de Sitter space
• Casimir densities for a spherical boundary in de Sitter spacetime
• Casimir stress on parallel plates in de Sitter space
• Casimir densities for a spherical shell in the global monopole background
• Casimir energy-momentum tensor for the Robin Surfaces in de Sitter Spacetime
• Casimir effect due to a slowly rotating source in the weak field approximation
• Electromagnetic two-point functions and Casimir densities for a conducting plate in de Sitter spacetime
• Acceleration of the Universe driven by the Casimir force
• 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
• Casimir effect in Domain Wall formation
• Electromagnetic Casimir densities for a cylindrical shell on de Sitter space
• Scalar Casimir densities induced by a cylindrical shell in de Sitter spacetime
• Casimir effect in a two dimensional signature changing spacetime
• Vacuum Quantum Effects for Parallel Plates Moving by Uniform Acceleration in Static de Sitter Space
• 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 effect for a spherical shell in de Sitter spacetime with signature change
• Casimir stress for cylindrical shell in de-Sitter space
• 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
• Casimir densities for parallel plate in the Domain Wall background