Casimir stress on parallel plates in de Sitter space

TL;DR

This paper calculates the Casimir stress on parallel plates in de Sitter space for a massless scalar field with Robin boundary conditions, considering different cosmological constants to model early universe domain walls.

Contribution

It provides a generalized analytical framework for Casimir stress in de Sitter space with varying boundary conditions and cosmological constants, relevant to early universe cosmology.

Findings

Derived explicit expressions for Casimir stress in de Sitter space.

Analyzed effects of different cosmological constants on Casimir forces.

Applicable to models of domain wall formations in cosmology.

Abstract

The Casimir stress on two parallel plates in de Sitter background for massless scalar field satisfying Robin boundary conditions on the plates 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 between and outside of the plates to have general results applicable to the case of domain wall formations in the early universe.