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Chin. Phys. B, 2011, Vol. 20(11): 110403    DOI: 10.1088/1674-1056/20/11/110403
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A simpler method for researching fermions tunneling from black holes

Lin Kai(林恺)a) and Yang Shu-Zheng(杨树政)b)
a Department of Physics, Chongqing University, Chongqing 400030, China; b Institute of Theoretical Physics, China West Normal University, Nanchong 637002, China
Abstract  A new simpler mathematic method is proposed to study fermions tunneling from black holes. According to this method, by using semiclassical approximation theory, it simplifies the Dirac equation of curved spacetime and then the relationship of the gamma matrix and the component of contravariant metric is considered in order to transform the set of difficult quantum equations into a simple equation. Finally, the fermion tunneling and Hawking radiation of black holes are obtained. The method is very effective and simple, and we will take the Schwarzschild black hole with global monopole and the higher-dimensional Reissner-Nordstrom de Sitter black hole as two examples to show the fact.
Keywords:  black-hole thermodynamics      Hawking radiation      Schwarzschild black hole      higher-dimensional Reissner-Nordstrom de Sitter black hole  
Received:  12 July 2010      Revised:  18 May 2011      Accepted manuscript online: 
PACS:  04.70.-s (Physics of black holes)  
  97.60.Lf (Black holes)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10773008 and 11075224) and the Chongqing University Postgraduates Science and Innovation Fund, China (Grant No. 200811B1A0100299).

Cite this article: 

Lin Kai(林恺) and Yang Shu-Zheng(杨树政) A simpler method for researching fermions tunneling from black holes 2011 Chin. Phys. B 20 110403

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