Casimir stress on parallel plates in de Sitter space with signature change

TL;DR

This paper calculates the Casimir stress on parallel plates in de Sitter space with signature change, revealing early universe attraction effects due to vacuum differences and boundary conditions.

Contribution

It introduces a novel analysis of Casimir stress in de Sitter space considering signature change and different vacuum states, extending previous models.

Findings

Attraction of plates in early universe conditions

Casimir pressure depends on vacuum states and boundary conditions

Signature change influences Casimir stress behavior

Abstract

The Casimir stress on two parallel plates in a de Sitter background corresponding to different metric signatures and cosmological constants is calculated for massless scalar fields satisfying Robin boundary conditions on the plates. Our calculation shows that for the parallel plates with false vacuum between and true vacuum outside, the total Casimir pressure leads to an attraction of the plates at very early universe.