Vacuum Quantum Effects for Parallel Plates Moving by Uniform Acceleration in Static de Sitter Space

TL;DR

This paper investigates the Casimir effect on two parallel plates undergoing uniform acceleration in static de Sitter space, using conformal transformations from Rindler space to derive vacuum energy-momentum tensor expectations.

Contribution

It provides a novel analysis of vacuum effects for accelerated plates in de Sitter space via conformal relations to Rindler space, extending understanding of quantum field effects in curved spacetime.

Findings

Derived vacuum expectation values of energy-momentum tensor in de Sitter space

Established conformal relation between static de Sitter and Rindler spaces

Analyzed Casimir forces for uniformly accelerated plates in curved spacetime

Abstract

The Casimir forces on two parallel plates moving by uniform proper acceleration in static de Sitter background due to conformally coupled massless scalar field satisfying Dirichlet boundary conditions on the plates is investigated. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in static de Sitter space from the corresponding Rindler counterpart by the conformal transformation.