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Paper IPM / Physic / 7828  


Abstract:  
Wightman function, the vacuum expectation values of the field square and the energymomentum tensor are evaluated for a scalar field obeying mixed boundary condition on a spherical brane in (D+1)dimensional Rindlerlike spacetime Ri×S^{D−1}, where Ri is a twodimensional 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 boundaryfree and braneinduced parts. Further we extract from the Wightman function for the boundaryfree geometry the corresponding function in the bulk R^{2}×S^{D−1}. For the latter geometry the vacuum expectation values of the field square and the energymomentum tensor do not depend on the spacetime point. For the renormalization of these quantities we use zeta regularization technique. Various limiting cases of the braneinduced vacuum expectation values are investigated.
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