Solution of Dirac equation around a charged rotating black hole

doi:10.1088/1674-1056/23/4/040403

Abstract The aim of this paper is to solve the radial parts of a Dirac equation in Kerr-Newman (KN) geometry. The potential is replaced by a collection of step functions, then the reflection and transmission coefficients as well as the solution of the wave equation are obtained by using a quantum mechanical method. The result shows that the waves with different values of mass will be scatted off very differently.

Keywords: Dirac equation Kerr-Newman space tortoise coordinate

Received: 20 July 2013
Revised: 22 September 2013
Accepted manuscript online:

PACS:	04.20.-q	(Classical general relativity)
	04.70.-s	(Physics of black holes)
	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	95.30.Sf	(Relativity and gravitation)

Fund: Project supported by the Special Funds of the National Natural Science Foundation of China (Grant No. 11247288) and the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11301350).

Corresponding Authors: Lü Yan
E-mail: yanlvthp88@aliyun.com

About author: 04.20.-q; 04.70.-s; 04.70.Dy; 95.30.Sf

Cite this article:

Lü Yan (吕嫣), Hua Wei (花巍) Solution of Dirac equation around a charged rotating black hole 2014 Chin. Phys. B 23 040403

[1]	Hawking S W 1974 Nature 248 30
[2]	Parikh M K and Wiltzek F 2000 Phys. Rev. Lett. 85 5042
[3]	Zhang J Y and Zhao Z 2005 Phys. Lett. B 618 14
[4]	Zhang J Y and Zhao Z 2005 Nucl. Phys. B 725 173
[5]	Chen D Y, Yang H T and Zu X T 2008 Eur. Phys. J. C 56 119
[6]	Kerner R and Mann R B 2007 Phys. Rev. D 75 084022
[7]	Lin K and Yang S Z 2009 Chin. Phys. B 18 2154
[8]	Zeng X X and Yang S Z 2009 Chin. Phys. B 18 462
[9]	Zhou S W, Liu B, Huang J L and Liu W B 2010 Chin. Phys. B 19 010403
[10]	Zhang L C, Li H F and Zhao R 2010 Europhys. Lett. 89 20008
[11]	Li H L 2010 Eur. Phys. J. C 65 547
[12]	Li H L 2011 Chin. Phys. B 20 030402
[13]	Lin K and Yang S Z 2011 Chin. Phys. B 20 110403
[14]	Shao J Z and Wang Y J 2012 Chin. Phys. B 21 040404
[15]	Higuchi A, Matsas G E A and Sudarsky D 1998 Phys. Rev. D 58 104021
[16]	Grispino L C B, Higuchi A and Matsas G E A 2000 Class. Quantum Grav. 17 19
[17]	Brady P R, Chambers C M, KrivanW and Laguna P 1997 Phys. Rev. D 55 7538
[18]	Brady P R, Chambers C M, Laarakkers W G and Poisson E 1999 Phys. Rev. D 60 064003
[19]	Brevik I and Simonsen B 2001 Gen. Relat. Grav. 33 1839
[20]	Tian J X, Gui Y X, Guo G H, Lü Y, Zhang S H and Wang W 2003 Gen. Relat. Grav. 35 1473
[21]	Guo G H, Gui Y X and Tian J X 2005 Gen. Relat. Grav. 37 1323
[22]	Liu M L, Liu H Y, Zhang J F and Yu F 2008 Chin. Phys. B 17 1633
[23]	Guo G H 2010 Chin. Phys. B 19 110403
[24]	Liu L and Xu D Y 1980 Acta Phys. Sin. 29 1617 (in Chinese)
[25]	Khanal U and Panchapakesan N 1981 Phys. Rev. D 24 829
[26]	Zhao Z, Gui Y X and Liu L 1981 Acta Astrophys. Sin. 1 141 (in Chinese)
[27]	Khanal U 1985 Phys. Rev. D 32 879
[28]	Mukhopadhyay B and Chakrabarti S K 1999 Class. Quantum. Grav. 16 3165
[29]	Mukhopadhyay B and Chakrabarti S K 2000 Nucl. Phys. B 582 627
[30]	Chakrabarti S K and Mukhopadhyay B 2000 Mon. Not. R. Astron. Soc. 317 979
[31]	Mukhopadhyay B and Dadhich N 2004 Class. Quantum. Grav. 21 3621
[32]	Mukhopadhyay B 2000 Class. Quantum. Grav. 17 2017
[33]	Mukhopadhyay B and Ghosh K 2008 Class. Quantum. Grav. 25 65006
[34]	Chandrasekhar S 1976 Proc. R. Soc. Lond. A 349 571
[35]	Chandrasekhar S 1983 The Mathematical Theory of Black Holes (London: Clarendon Press) pp. 531-562
[36]	Lyu Y and Gui Y X 2007 Phys. Scr. 75 152
[37]	Lyu Y, Cui S and Liu L 2009 Mod. Phys. Lett. A 24 2433
[38]	Chakrabarti S K 1984 Proc. R. Soc. Lond. A 391 27

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Solution of Dirac equation around a charged rotating black hole

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