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Paper   IPM / Physic / 7828
School of Physics
Title:   Casimir Densities for A Spherical Brane in Rindler-Like Spacetimes
Author(s):
 1 A.A. Saharian 2 M.R. Setare
Status:   Published
Journal: Nucl. Phys. B
Vol.:  724
Year:  2005
Pages:   406-422
Supported by:  IPM
Abstract:
Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are evaluated for a scalar field obeying mixed boundary condition on a spherical brane in (D+1)-dimensional Rindler-like spacetime Ri×SD−1, where Ri is a two-dimensional Rindler spacetime. This spacetime approximates the near horizon geometry of (D+1) -dimensional black hole in the large mass limit. The vacuum expectation values are presented as the sum of boundary-free and brane-induced parts. Further we extract from the Wightman function for the boundary-free geometry the corresponding function in the bulk R2×SD−1. For the latter geometry the vacuum expectation values of the field square and the energy-momentum tensor do not depend on the spacetime point. For the renormalization of these quantities we use zeta regularization technique. Various limiting cases of the brane-induced vacuum expectation values are investigated.