A simpler method for researching fermions tunneling from black holes

doi:10.1088/1674-1056/20/11/110403

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110403-110403.doi: 10.1088/1674-1056/20/11/110403

A simpler method for researching fermions tunneling from black holes

林恺¹, 杨树政²

(1)Department of Physics, Chongqing University, Chongqing 400030, China; (2)Institute of Theoretical Physics, China West Normal University, Nanchong 637002, China

收稿日期:2010-07-12 修回日期:2011-05-18 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
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).

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

Received:2010-07-12 Revised:2011-05-18 Online:2011-11-15 Published:2011-11-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: black-hole thermodynamics, Hawking radiation, Schwarzschild black hole, higher-dimensional Reissner-Nordstrom de Sitter black hole

中图分类号: (Physics of black holes)

04.70.-s

97.60.Lf (Black holes)

林恺, 杨树政. A simpler method for researching fermions tunneling from black holes[J]. 中国物理B, 2011, 20(11): 110403-110403.

Lin Kai(林恺) and Yang Shu-Zheng(杨树政) . A simpler method for researching fermions tunneling from black holes[J]. Chin. Phys. B, 2011, 20(11): 110403-110403.

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A simpler method for researching fermions tunneling from black holes

A simpler method for researching fermions tunneling from black holes

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