中国物理B ›› 2006, Vol. 15 ›› Issue (12): 3044-3048.doi: 10.1088/1009-1963/15/12/045

• • 上一篇    

The Casimir effect of Reissner--Nordstr?m black hole

肖 奎, 刘文彪   

  1. Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China
  • 收稿日期:2005-12-10 修回日期:2006-07-14 出版日期:2006-12-20 发布日期:2006-12-20
  • 基金资助:
    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).

The Casimir effect of Reissner--Nordström black hole

Xiao Kui(肖奎) and Liu Wen-Biao(刘文彪)†   

  1. Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875, China
  • Received:2005-12-10 Revised:2006-07-14 Online:2006-12-20 Published:2006-12-20
  • Supported by:
    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).

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摘要： 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.

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.

Key words: Casimir effect, Reissner--Nordström black hole, stress tensor, scalar field

中图分类号:  (Quantum aspects of black holes, evaporation, thermodynamics)

  • 04.70.Dy
11.10.-z (Field theory) 97.60.Lf (Black holes)