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Paper   IPM / Physic / 6929
School of Physics
  Title:   Casimir Energy for Spherical Shell in Schwarzchild Black Hole Background
1.  M.R. Setare
2.  M.B. Altaie
  Status:   Published
  Journal: Gen. Relat. Gravit.
  No.:  2
  Vol.:  36
  Year:  2004
  Pages:   331-341
  Supported by:  IPM
In this paper, we consider the Casimir energy of massless scalar field which satisfy Dirichlet boundary condition on a spherical shell. Outside the shell, the spacetime is assumed to be described by the Schwarzschild metric, while inside the shell it is taken to be the flat Minkowski space. Using zeta function regularization and heat kernel coefficients we isolate the divergent contributions of the Casimir energy inside and outside the shell, then using the renormalization procedure of the bag model the divergent parts are cancelled, finally obtaining a renormalized expression for the total Casimir energy.

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