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)
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
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.
Received: 07 February 2006
Revised: 03 June 2006
Accepted manuscript online:
PACS:
04.70.Dy
(Quantum aspects of black holes, evaporation, thermodynamics)
Fund: Project supported by Science
and Technology Department of Sichuan Province Foundation of China for Fundamental
Research \linebreak
\makebox[1.6mm]{}(Grant No 05JY029-092).
Cite this article:
Jiang Qing-Quan(蒋青权), Yang Shu-Zheng(杨树政), and Wu Shuang-Qing(吴双清) Hawking radiation as tunnelling from arbitrarily dimensional Reissner--Nordström de Sitter black hole 2006 Chinese Physics 15 2523
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