Article

# The Casimir effect in the Fulling-Rindler vacuum

07/2002; DOI:10.1103/PhysRevD.66.085023
Source: arXiv

ABSTRACT The vacuum expectation values of the energy--momentum tensor are investigated
for massless scalar fields satisfying Dicichlet or Neumann boundary conditions,
and for the electromagnetic field with perfect conductor boundary conditions on
two infinite parallel plates moving by uniform proper acceleration through the
Fulling--Rindler vacuum. The scalar case is considered for general values of
the curvature coupling parameter and in an arbitrary number of spacetime
dimension. The mode--summation method is used with combination of a variant of
the generalized Abel--Plana formula. This allows to extract manifestly the
contributions to the expectation values due to a single boundary. The vacuum
forces acting on the boundaries are presented as a sum of the self--action and
interaction terms. The first one contains well known surface divergences and
needs a further regularization. The interaction forces between the plates are
always attractive for both scalar and electromagnetic cases. An application to
the 'Rindler wall' is discussed.

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18 Dec 2012

### Keywords

arbitrary number

attractive

curvature coupling parameter

electromagnetic cases

electromagnetic field

expectation values

general values

interaction forces

interaction terms

manifestly

massless scalar fields satisfying Dicichlet

scalar

scalar case

surface divergences

uniform proper acceleration

vacuum expectation values