VACUUM QUANTUM EFFECT FOR PARALLEL PLATES MOVING BY UNIFORM ACCELERATION IN STATIC DE SITTER SPACE

2004/11/26 by M R Setare, M. R. SETARE
Physics and Astronomy · #Advanced Differential Geometry Research #Anti-de Sitter space #Casimir effect #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Massless particle #Quantum Electrodynamics and Casimir Effect #Quantum field theory in curved spacetime #Scalar (mathematics) #Scalar field #de Sitter invariant special relativity #de Sitter–Schwarzschild metric #hep-th

paper · pdf · doi:10.1142/s0217751x05021129

published as Int.J.Mod.Phys. A20 (2005) 5679-5688 · 10 pages, no figures, accepted for publication in Int. J. Mod. Phys. A

arxiv created 2004/11/26 · openalex publication_date 2005/09/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• The Casimir effect
• New Developments in the Casimir Effect
• The energy-momentum tensor in Fulling-Rindler vacuum
• Stress-energy tensor for parallel plate on background of conformally flat brane-world geometries and cosmological constant problem