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Push on a Casimir apparatus in a weak gravitational field

Giuseppe Bimonte, Enrico Calloni, Giampiero Esposito, Luigi Rosa

hep-tharXiv:hep-th/0610226

Abstract

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. We use Fermi coordinates and work to first order in the constant acceleration parameter. A new simple formula for the trace anomaly is found to first order in the constant acceleration, and a more systematic derivation is therefore obtained of the theoretical prediction according to which the Casimir device in a weak gravitational field will experience a tiny push in the upwards direction.

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