Novel features of the energy momentum tensor of a Casimir apparatus in a weak gravitational field

Giuseppe Bimonte, Enrico Calloni, Giampiero Esposito, Luigi Rosa

Published 2007-10-18, updated 2008-04-09Version 3

The influence of the gravity acceleration on the regularized energy-momentum tensor of the quantized electromagnetic field between two plane parallel conducting plates is derived. A perturbative expansion, to first order in the constant acceleration parameter, of the Green functions involved and of the energy-momentum tensor is derived by means of the covariant geodesic point splitting procedure. The energy-momentum tensor is covariantly conserved and satisfies the expected relation between gauge-breaking and ghost parts.