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The Casimir effect of Reissner-NordstrSm black hole
引用本文:肖 奎,刘文彪. The Casimir effect of Reissner-NordstrSm black hole[J]. 中国物理, 2006, 15(12): 3044-3048
作者姓名:肖 奎  刘文彪
作者单位:Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China;Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China
基金项目:Project supported by the National BasicResearch Program of China (Grant No 2003CB716302) and theNational Natural Science Foundation of China (Grant Nos 10373003 and 10475013).
摘    要:
The stress tensor of a massless scalar field satisfying a mixed boundary condition in a (1 + 1)-dimensional Reissner- Nordstrom 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.

关 键 词:Reissner-Nordstrom黑洞 应力张量 标量场 Casimir效应
收稿时间:2005-11-10
修稿时间:2005-11-102006-07-14

The Casimir effect of Reissner--Nordstr?m black hole
Xiao Kui and Liu Wen-Biao. The Casimir effect of Reissner--Nordstr?m black hole[J]. Chinese Physics, 2006, 15(12): 3044-3048
Authors:Xiao Kui and Liu Wen-Biao
Affiliation:Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China
Abstract:
The stress tensor of a massless scalar field satisfying a mixed boundary conditionin a ( 1+1)-dimensional Reissner--Nordstr?m black hole background iscalculated by using Wald's axiom. We find that Dirichlet stress tensor and Neumannstress tensor can be deduced by changing the coefficients of the stress tensorcalculated under a mixed boundary condition. The stress tensors satisfying Dirichletand Neumann boundary conditions are discussed. In addition, we also find that thestress tensor in conformal flat spacetime background differs from that in flatspacetime only by a constant.
Keywords:Casimir effect  Reissner--Nordstr?m black hole  stress tensor  scalar field
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