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

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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.

Details

Authors
  • Giampiero Esposito
  • George Napolitano
Organisations
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Probability Theory and Statistics
Original languageEnglish
Article number074013
JournalPhysica Scripta
Volume90
Issue number7
Publication statusPublished - 2015
Publication categoryResearch
Peer-reviewedYes