Casimir stress for cylindrical shell in de-Sitter space

TL;DR

This paper calculates the Casimir stress on a cylindrical shell in de Sitter space for a massless scalar field, considering different cosmological constants inside and outside the shell, relevant to early universe domain walls.

Contribution

It provides a novel calculation of Casimir stress in a de Sitter background with varying cosmological constants, extending previous Minkowski space results.

Findings

Casimir stress depends on the cosmological constant difference

Results applicable to early universe domain wall formations

Method uses conformally flat metric to relate to Minkowski calculations

Abstract

The Casimir stress on cylinderical shell in de Sitter background for massless scalar field satisfying Dirichlet boundary conditions on the cylinder is calculated. The metric is written in conformally flat form to make maximum use of the Minkowski space calculations. Different cosmological constants are assumed for the space inside and outside the cylinder to have general results applicable to the case of cylindrical domain wall formations in the early universe.