{ "id": "hep-th/0606042", "version": "v5", "published": "2006-06-06T09:45:49.000Z", "updated": "2008-04-09T13:59:22.000Z", "title": "Energy-momentum tensor for a Casimir apparatus in a weak gravitational field", "authors": [ "Giuseppe Bimonte", "Enrico Calloni", "Giampiero Esposito", "Luigi Rosa" ], "comment": "Equations (4.4), (5.1), (5.2), (5.4), (B9) have been amended, while equations (5.7) and (5.8) have been deleted. Comments have been amended accordingly", "journal": "Phys.Rev.D74:085011,2006; Erratum-ibid.D75:049904,2007; Erratum-ibid.D75:089901,2007; Erratum-ibid.D77:109903,2008", "doi": "10.1103/PhysRevD.74.085011", "categories": [ "hep-th" ], "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 perturbative expansion, to this order, of the Green functions involved and of the energy-momentum tensor is derived by means of the covariant geodesic point splitting procedure. In correspondence to the Green functions satisfying mixed and gauge-invariant boundary conditions, and Ward identities, the energy-momentum tensor is covariantly conserved and satisfies the expected relation between gauge-breaking and ghost parts. 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.", "revisions": [ { "version": "v5", "updated": "2008-04-09T13:59:22.000Z" } ], "analyses": { "subjects": [ "03.70.+k", "04.60.Ds" ], "keywords": [ "weak gravitational field", "energy-momentum tensor", "casimir apparatus", "covariant geodesic point splitting procedure", "green functions" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 718623 } } }