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Energy-momentum tensor for a scalar Casimir apparatus in a weak gravitational field: Neumann conditions

Esposito, Giampiero; Napolitano, George LU and Rosa, Luigi (2008) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 78(10). p.1-107701
Abstract
We consider a Casimir apparatus consisting of two perfectly conducting parallel plates, subject to the weak gravitational field of the Earth. The aim of this paper is the calculation of the energy-momentum tensor of this system for a free, real massless scalar field satisfying Neumann boundary conditions on the plates. The small gravity acceleration (considered here as not varying between the two plates) allows us to perform all calculations to first order in this parameter. Some interesting results are found: a correction, depending on the gravity acceleration, to the well-known Casimir energy and pressure on the plates. Moreover, this scheme predicts a tiny force in the upwards direction acting on the apparatus. These results are... (More)
We consider a Casimir apparatus consisting of two perfectly conducting parallel plates, subject to the weak gravitational field of the Earth. The aim of this paper is the calculation of the energy-momentum tensor of this system for a free, real massless scalar field satisfying Neumann boundary conditions on the plates. The small gravity acceleration (considered here as not varying between the two plates) allows us to perform all calculations to first order in this parameter. Some interesting results are found: a correction, depending on the gravity acceleration, to the well-known Casimir energy and pressure on the plates. Moreover, this scheme predicts a tiny force in the upwards direction acting on the apparatus. These results are supported by two consistency checks: the covariant conservation of the energy-momentum tensor and the vanishing of its regularized trace, when the scalar field is conformally coupled to gravity. (Less)
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D (Particles, Fields, Gravitation and Cosmology)
volume
78
issue
10
pages
1 - 107701
publisher
American Physical Society
external identifiers
  • scopus:56349096053
ISSN
1550-2368
DOI
10.1103/PhysRevD.78.107701
language
English
LU publication?
no
id
10778d57-ecc0-4bed-8f39-04e321231433 (old id 4123874)
alternative location
http://arxiv.org/abs/0810.2952
date added to LUP
2013-11-11 15:19:53
date last changed
2017-01-01 05:04:49
@article{10778d57-ecc0-4bed-8f39-04e321231433,
  abstract     = {We consider a Casimir apparatus consisting of two perfectly conducting parallel plates, subject to the weak gravitational field of the Earth. The aim of this paper is the calculation of the energy-momentum tensor of this system for a free, real massless scalar field satisfying Neumann boundary conditions on the plates. The small gravity acceleration (considered here as not varying between the two plates) allows us to perform all calculations to first order in this parameter. Some interesting results are found: a correction, depending on the gravity acceleration, to the well-known Casimir energy and pressure on the plates. Moreover, this scheme predicts a tiny force in the upwards direction acting on the apparatus. These results are supported by two consistency checks: the covariant conservation of the energy-momentum tensor and the vanishing of its regularized trace, when the scalar field is conformally coupled to gravity.},
  author       = {Esposito, Giampiero and Napolitano, George and Rosa, Luigi},
  issn         = {1550-2368},
  language     = {eng},
  number       = {10},
  pages        = {1--107701},
  publisher    = {American Physical Society},
  series       = {Physical Review D (Particles, Fields, Gravitation and Cosmology)},
  title        = {Energy-momentum tensor for a scalar Casimir apparatus in a weak gravitational field: Neumann conditions},
  url          = {http://dx.doi.org/10.1103/PhysRevD.78.107701},
  volume       = {78},
  year         = {2008},
}