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Chin. Phys. B, 2010, Vol. 19(9): 090402    DOI: 10.1088/1674-1056/19/9/090402
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Radiation energy flux of Dirac field of static spherically symmetric black holes

Meng Qing-Miao(孟庆苗), Jiang Ji-Jian(蒋继建), Li Zhong-Rang(李中让), and Wang Shuai(王帅)
Department of Physics, Heze University, Heze 274015, China
Abstract  By the statistical entropy of the Dirac field of the static spherically symmetric black hole, the result is obtained that the radiation energy flux of the black hole is proportional to the quartic of the temperature of its event horizon. That is, the thermal radiation of the black hole always satisfies the generalised Stenfan–Boltzmann law. The derived generalised Stenfan–Boltzmann coefficient is no longer a constant. When the cut-off distance and the thin film thickness are both fixed, it is a proportional coefficient related to the space–time metric near the event horizon and the average radial effusion velocity of the radiation particles from the thin film. Finally, the radiation energy fluxes and the radiation powers of the Schwarzschild black hole and the Reissner–Nordström black hole are derived, separately.
Keywords:  static spherically symmetric black hole      thin film model      generalised Stenfan–Boltzmann law      radiation energy flux  
Received:  28 January 2010      Revised:  06 April 2010      Accepted manuscript online: 
PACS:  0420  
  9760L  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10773002), and the Technology Planning Project of Education Bureau of Shandong Province, China (Grant No. J07WJ49).

Cite this article: 

Meng Qing-Miao(孟庆苗), Jiang Ji-Jian(蒋继建), Li Zhong-Rang(李中让), and Wang Shuai(王帅) Radiation energy flux of Dirac field of static spherically symmetric black holes 2010 Chin. Phys. B 19 090402

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