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Casimir energy-momentum tensor for curved boundaries in de Sitter space-time. (English) Zbl 1400.83029

Summary: In the present paper, we study Casimir effect for a conformally coupled scalar field propagating on background of \(4+1\)-dimensional de Sitter (dS) space-time. The field is supposed to obey Dirichlet boundary condition on two 4-dimensional curved boundaries. Technically, we accomplish our calculations using an indefinite field quantization scheme, which already has been successfully applied to the dS minimally coupled massless scalar field and the dS linear gravity to obtain a causal and fully covariant quantum field on dS space-time.

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
81T55 Casimir effect in quantum field theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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