Casimir stress for concentric spheres in de Sitter space

TL;DR

This paper calculates the Casimir stress on concentric spherical shells in de Sitter space for a massless scalar field, exploring implications for early universe domain wall dynamics.

Contribution

It provides a novel calculation of Casimir stress in a curved de Sitter background with specific boundary conditions, relevant for cosmological models.

Findings

Casimir stress differs inside and outside the shells.

The model links Casimir effects to domain wall formation.

Calculations utilize conformally flat metric for simplicity.

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.