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Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime

Esposito, Giampiero and Napolitano, George LU (2015) In Physica Scripta 90(7).
Abstract
Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper studies the difficult problem of direct evaluation of scalar Green functions for a Casimir-type apparatus in de Sitter spacetime. Working to first order in the small parameter of the problem, i.e. twice the gravity acceleration times the plates' separation divided by the speed of light in vacuum, suitable coordinates are considered for which the differential equations obeyed by the zeroth- and first-order Green functions can be solved in terms of special functions. This result can be used, in turn, to obtain, via the point-split method, the regularized and... (More)
Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper studies the difficult problem of direct evaluation of scalar Green functions for a Casimir-type apparatus in de Sitter spacetime. Working to first order in the small parameter of the problem, i.e. twice the gravity acceleration times the plates' separation divided by the speed of light in vacuum, suitable coordinates are considered for which the differential equations obeyed by the zeroth- and first-order Green functions can be solved in terms of special functions. This result can be used, in turn, to obtain, via the point-split method, the regularized and renormalized energy–momentum tensor both in the scalar case and in the physically more relevant electromagnetic case. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physica Scripta
volume
90
issue
7
publisher
Institute of Physics Publishing Ltd.
external identifiers
  • wos:000357541800014
  • scopus:84938488472
ISSN
0031-8949
DOI
10.1088/0031-8949/90/7/074013
language
English
LU publication?
yes
id
f5f98614-a648-40d0-bdee-daf94033344b (old id 7369960)
date added to LUP
2015-07-07 17:37:59
date last changed
2017-01-01 04:02:07
@article{f5f98614-a648-40d0-bdee-daf94033344b,
  abstract     = {Recent work in the literature has studied rigid Casimir cavities in a weak gravitational field, or in de Sitter spacetime, or yet other spacetime models. The present review paper studies the difficult problem of direct evaluation of scalar Green functions for a Casimir-type apparatus in de Sitter spacetime. Working to first order in the small parameter of the problem, i.e. twice the gravity acceleration times the plates' separation divided by the speed of light in vacuum, suitable coordinates are considered for which the differential equations obeyed by the zeroth- and first-order Green functions can be solved in terms of special functions. This result can be used, in turn, to obtain, via the point-split method, the regularized and renormalized energy–momentum tensor both in the scalar case and in the physically more relevant electromagnetic case.},
  articleno    = {074013},
  author       = {Esposito, Giampiero and Napolitano, George},
  issn         = {0031-8949},
  language     = {eng},
  number       = {7},
  publisher    = {Institute of Physics Publishing Ltd.},
  series       = {Physica Scripta},
  title        = {Towards obtaining Green functions for a Casimir cavity in de Sitter spacetime},
  url          = {http://dx.doi.org/10.1088/0031-8949/90/7/074013},
  volume       = {90},
  year         = {2015},
}