Casimir Effect for Moving Branes in Static dS$_{4+1}$ Bulk

M R Setare

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arXiv · hep-th/0406222

Casimir Effect for Moving Branes in Static dS$_{4+1}$ Bulk

M R Setare

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Abstract

In this paper we study the Casimir effect for conformally coupled massless scalar fields on background of Static dS$_{4+1}$ spacetime. We will consider the general plane--symmetric solutions of the gravitational field equations and boundary conditions of the Dirichlet type on the branes. Then we calculate the vacuum energy-momentum tensor in a configuration in which the boundary branes are moving by uniform proper acceleration in static de Sitter background. 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.

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M R Setare. 2004-06-24. Casimir Effect for Moving Branes in Static dS$_{4+1}$ Bulk. https://arxiv.org/abs/hep-th/0406222

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