Energy-momentum tensor for a scalar Casimir apparatus in a weak gravitational field: Neumann conditions
(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:
https://lup.lub.lu.se/record/4123874
- author
- Esposito, Giampiero ; Napolitano, George LU and Rosa, Luigi
- publishing date
- 2008
- 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
- 2016-04-01 12:21:56
- date last changed
- 2022-03-21 03:06:43
@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}},
doi = {{10.1103/PhysRevD.78.107701}},
volume = {{78}},
year = {{2008}},
}