Casimir energy for spherical shell in Schwarzchild black hole background

Details Casimir energy for spherical shell in Schwarzchild black hole background Casimir energy for spherical shell in Schwarzchild black hole background

2002-07-21

arxiv.org/abs/gr-qc/0207081v2

Gen.Rel.Grav. 36 (2004) 331-341

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figure,discussion added, references added, has been accepted for the publication in GRG

Scientific paper

10.1023/B:GERG.0000010479.98616.

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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