Surface vacuum energy and stresses on a plate uniformly accelerated through the Fulling-Rindler vacuum

Abstract

The vacuum expectation value of the surface energy-momentum tensor is evaluated for a massless scalar field obeying mixed boundary condition on an infinite plate moving by uniform proper acceleration through the Fulling-Rindler vacuum. The generalized zeta function technique is used, in combination with the contour integral representation. The surface energies for separate regions on the left and on the right of the plate contain pole and finite contributions. Analytic expressions for both these contributions are derived. For a minimally coupled scalar the surface energy-momentum tensor induced by vacuum quantum effects corresponds to a source of the cosmological constant type located on the plate and with the cosmological constant determined by the proper acceleration of the plate.

arXiv comment14 pages, 1 EPS figure

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• Wightman function and Casimir densities for Robin plates in the Fulling-Rindler vacuum
• Casimir energy-momentum tensor for the Robin Surfaces in de Sitter Spacetime
• Surface Casimir densities on a spherical brane in Rindler-like spacetimes
• Fermionic condensate and the mean energy-momentum tensor in the Fulling-Rindler vacuum
• Casimir densities for two spherical branes in Rindler-like spacetimes
• Vacuum currents in partially compactified Rindler spacetime with an application to cylindrical black holes
• Unruh effect without Rindler horizon
• Casimir densities for a boundary in Robertson-Walker spacetime
• Local $\zeta$-functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime
• Fermionic Casimir densities for a uniformly accelerating mirror in the Fulling-Rindler vacuum