Abstract The stress tensor of a massless scalar field satisfying a mixed boundary condition in a ( 1+1)-dimensional Reissner--Nordstr?m black hole background is calculated by using Wald's axiom. We find that Dirichlet stress tensor and Neumann stress tensor can be deduced by changing the coefficients of the stress tensor calculated under a mixed boundary condition. The stress tensors satisfying Dirichlet and Neumann boundary conditions are discussed. In addition, we also find that the stress tensor in conformal flat spacetime background differs from that in flat spacetime only by a constant.
Received: 10 December 2005
Revised: 14 July 2006
Accepted manuscript online:
PACS:
04.70.Dy
(Quantum aspects of black holes, evaporation, thermodynamics)
Fund: Project supported by the National Basic
Research Program of China (Grant No 2003CB716302) and the
National Natural Science Foundation of China (Grant Nos 10373003 and 10475013).
Cite this article:
Xiao Kui(肖奎) and Liu Wen-Biao(刘文彪) The Casimir effect of Reissner--Nordström black hole 2006 Chinese Physics 15 3044
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