Novel features of the energy momentum tensor of a Casimir apparatus in a weak gravitational field
arXiv:0710.3495 · doi:10.1088/1751-8113/41/16/164056
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. 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.
arXiv comment8 pages, based on a talk given by Luigi Rosa at the QFEXT07 Conference, Leipzig. Equation (13) and the formulae for rho and energy E stored in the Casimir device have been amended, jointly with related discussion
References in corpus (11)
- New Developments in the Casimir Effect
- Calculating Vacuum Energies in Renormalizable Quantum Field Theories: A New Approach to the Casimir Problem
- How Does Casimir Energy Fall?
- Fermi Coordinates for Weak Gravitational Fields
- Energy-momentum tensor for a Casimir apparatus in a weak gravitational field
- Relativistic mechanics of Casimir apparatuses in a weak gravitational field
- Remarks on the formulation of the cosmological constant/dark energy problems
- Vacuum fluctuation force on a rigid Casimir cavity in a gravitational field
- Casimir Effect confronts Cosmological Constant
- Inertia of Casimir energy
- On the photon Green functions in curved space-time