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Paper   IPM / P / 6929
School of Physics
Title:   Casimir Energy for Spherical Shell in Schwarzchild Black Hole Background
Author(s):
 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
Abstract:
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.