Energymomentum 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.1107701 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 energymomentum 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 wellknown 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 energymomentum 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 wellknown 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 energymomentum 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:
http://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
 15502368
 DOI
 10.1103/PhysRevD.78.107701
 language
 English
 LU publication?
 no
 id
 10778d57ecc04bed8f3904e321231433 (old id 4123874)
 alternative location
 http://arxiv.org/abs/0810.2952
 date added to LUP
 20131111 15:19:53
 date last changed
 20170101 05:04:49
@article{10778d57ecc04bed8f3904e321231433, 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 energymomentum 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 wellknown 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 energymomentum 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 = {15502368}, language = {eng}, number = {10}, pages = {1107701}, publisher = {American Physical Society}, series = {Physical Review D (Particles, Fields, Gravitation and Cosmology)}, title = {Energymomentum 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}, }