CASIMIR ENERGY IN A CURVED BACKGROUND WITH A SPHERICAL BOUNDARY AND ARBITRARY RADIUS - AN EXACT SOLUTION VIA THE POINT SPLITTING METHOD

BAYM S., OZCAN M.

PHYSICAL REVIEW D, vol.49, no.10, pp.5313-5318, 1994 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 10
  • Publication Date: 1994
  • Doi Number: 10.1103/physrevd.49.5313
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, zbMATH
  • Page Numbers: pp.5313-5318
  • Middle East Technical University Affiliated: No

Abstract

We calculate the renormalized quantum vacuum energy-momentum tensor inside a spherical boundary, where the background geometry inside the boundary is represented by the closed static Friedmann metric. The remormalized energy density has two terms, one of which comes from the local curvature and the other one is due to the presence of the boundary. The renormalized energy density has a nonintegrable divergence as the boundary is approached.