中国物理B ›› 2006, Vol. 15 ›› Issue (11): 2523-2528.doi: 10.1088/1009-1963/15/11/011

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Hawking radiation as tunnelling from arbitrarily dimensional Reissner--Nordstr?m de Sitter black hole

吴双清1, 蒋青权2, 杨树政2   

  1. (1)Department of Physics, and College of Physical Science and Technology, Central China Normal University, Wuhan, Hubei430079, China; (2)Institute of Theoretical Physics, China West Normal University, Nanchong,Sichuan637002, China
  • 收稿日期:2006-02-07 修回日期:2006-06-03 出版日期:2006-11-20 发布日期:2006-11-20
  • 基金资助:
    Project supported by Science and Technology Department of Sichuan Province Foundation of China for Fundamental Research \linebreak \makebox[1.6mm]{}(Grant No 05JY029-092).

Hawking radiation as tunnelling from arbitrarily dimensional Reissner--Nordström de Sitter black hole

Jiang Qing-Quan(蒋青权)a)†, Yang Shu-Zheng(杨树政)a), and Wu Shuang-Qing(吴双清)b)   

  1. a Institute of Theoretical Physics, China West Normal University, Nanchong, Sichuan637002, China; b Department of Physics, and College of Physical Science and Technology, Central China Normal University, Wuhan, Hubei 430079, China
  • Received:2006-02-07 Revised:2006-06-03 Online:2006-11-20 Published:2006-11-20
  • Supported by:
    Project supported by Science and Technology Department of Sichuan Province Foundation of China for Fundamental Research \linebreak \makebox[1.6mm]{}(Grant No 05JY029-092).

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摘要： This paper extends Parikh--Wilzcek's recent work, which treats the Hawking radiation as a semi-classical tunnelling process from the event horizon of four dimensional Schwarzshild and Reissner--Nordstr\"{o}m black holes, to that of arbitrarily dimensional Reissner--Nordstr\"{o}m de Sitter black hole. The result shows that the tunnelling rate is related to the change of Bekenstein--Hawking entropy and the factually radiant spectrum is no longer precisely thermal after taking the dynamical black hole background and energy conservation into account, but is consistent with the underlying unitary theory and then satisfies the first law of the black hole thermodynamics. Meanwhile, in Parikh--Wilzcek's framework, this paper points out that the information conservation is only suitable for the reversible process but in highly unstable evaporating black hole (irreversible process) the information loss is possible.

关键词: black hole radiation, tunnelling rate, Bekenstein--Hawking entropy, first law of the black\\hbox{\hskip 1.9cm} hole thermodynamics

Abstract: This paper extends Parikh--Wilzcek's recent work, which treats the Hawking radiation as a semi-classical tunnelling process from the event horizon of four dimensional Schwarzshild and Reissner--Nordstr?m black holes, to that of arbitrarily dimensional Reissner--Nordstr?m de Sitter black hole. The result shows that the tunnelling rate is related to the change of Bekenstein--Hawking entropy and the factually radiant spectrum is no longer precisely thermal after taking the dynamical black hole background and energy conservation into account, but is consistent with the underlying unitary theory and then satisfies the first law of the black hole thermodynamics. Meanwhile, in Parikh--Wilzcek's framework, this paper points out that the information conservation is only suitable for the reversible process but in highly unstable evaporating black hole (irreversible process) the information loss is possible.

Key words: black hole radiation, tunnelling rate, Bekenstein--Hawking entropy, first law of the black hole thermodynamics

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

  • 04.70.Dy
97.60.Lf (Black holes)