TL;DR
This paper investigates the Casimir effect on parallel plates within a de Sitter universe, deriving formulas for vacuum forces considering different boundary conditions and cosmological constants relevant to early universe domain walls.
Contribution
It provides new analytical expressions for vacuum energy-momentum tensor and forces in a conformally flat de Sitter background with mixed boundary conditions.
Findings
Derived formulas for vacuum expectation values of energy-momentum tensor
Calculated vacuum forces on plates with mixed boundary conditions
Applied results to domain wall formation scenarios in early universe
Abstract
The Casimir forces on two parallel plates in conformally flat de Sitter background due to conformally coupled massless scalar field satisfying mixed boundary conditions on the plates is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation values of the energy-momentum tensor and vacuum forces acting on boundaries. 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.
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