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Using Hamilton-Jacobi method, the Hawking tunneling radiation and temperature are investigated near the event horizon of the Einstein-Yang-Mills-Chern-Simons black hole. The results show that the temperature and tunneling rate depend on the charge and horizon of black holes, and the conclusion is significant for investigating other dynamical black holes. What is more, we also prove that this method can be used to study Hawking radiation in the scalar, vector, Dirac field and gravitational wave cases.
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Keywords:
- Einstein-Yang-Mills-Chern-Simons black hole /
- Hawking tunneling radiation /
- Hamilton-Jacobi equation
[1] Hawking S W 1974 Nature 248 30
[2] Hawking S W 1975 Commun. Math. Phys. 43 199
[3] Robinson S P, Wilczek F 2005 Phys. Rev. Lett. 95 011303
[4] Iso S, Umetsu H, Wilczek F 2006 Phys. Rev. Lett. 96 151302
[5] Das S, Robinson S P, Vagenas E C 2008 Int. J. Mod. Phys. D 17 533
[6] Xu Z, Chen B 2007 Phys. Rev. D 75 024041
[7] Jiang Q Q, Wu S Q, Cai X 2007 Phys. Lett. B 651 58
[8] Murata K, Soda J 2006 Phys. Rev. D 74 044018
[9] Vagenas E C, Das S 2006 JHEP 0610 025
[10] Setare M R 2007 Eur. Phys. J. C 49 865
[11] Jiang Q Q, Wu S Q, Cai X, 2007 Phys. Rev. D 75 064029
[12] Jiang Q Q, Wu S Q 2007 Phys. Lett. B 647 200
[13] Iso S, Umetsu H, Wilczek F 2006 Phys. Rev. D 74 044017
[14] Iso S, Morita T, Umetsu H 2007 J. High. Energy Phys. 04 068
[15] Yang S Z, Li H L, Jiang Q Q, Liu M Q 2007 Sci. China G 50 249
[16] Yang S Z, Chen D Y 2007 Inter. J. Theor. Phys. 46 2923
[17] Chen D Y, Yang S Z 2007 New J. Phys. 9 252
[18] Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042
[19] Vagenas E C 2001 Phys. Lett. B 503 399
[20] Vagenas E C 2002 Mod. Phys. Lett. A 17 609
[21] Vagenas E C 2002 Phys. Lett. B 533 302
[22] Medved A J M 2002 Class. Quant. Grav. 19 589
[23] Parikh M K 2002 Phys. Lett. B 546 189
[24] Medved A J M 2002 Phys. Rev. D 66 124009
[25] Vagenas E C 2003 Phys. Lett. B 559 65
[26] Parikh M K 2004 Energy Conservation and Hawking Radiation arXiv: 0402166[hep-th]
[27] Kerner R, Mann R B 2008 Class. Quant. Grav. 25 095014
[28] Kerner R, Mann R B 2008 Phys. Lett. B 665 277
[29] Li R, Ren J R, Wei S W 2008 Class. Quant. Grav. 25 125016
[30] Li R, Ren J R 2008 Phys. Lett. B 661 370
[31] Chen D Y, Jiang Q Q, Zu X T 2008 Class. Quant. Grav. 25 205022
[32] Chen D Y, Jiang Q Q, Zu X T 2008 Phys. Lett. B 665 106
[33] Zeng X X, Yang S Z 2008 Gen. Rel. Grav. 40 2107
[34] Lin K, Yang S Z 2009 Phys. Rev. D 79 064035
[35] Lin K, Yang S Z 2009 Phys. Lett. B 674 127
[36] Lin K, Yang S Z 2009 Phys. Lett. B 680 506
[37] Lin K, Yang S Z 2010 Chin. Phys. B 11 110403
[38] Yang S Z, Lin K 2010 Sci. China 40 507 (in Chinese) [杨树政,林恺 2010 中国科学 40 507]
[39] Yang S Z, Lin K 2010 Acta Phys. Sin. 59 5266 (in Chinese) [杨树政, 林恺 2010 物理学报 59 5266]
[40] Brihaye Y, Radu E, Tchrakian D H 2011 Phys. Rev. Lett. 106 071101
[41] Brihaye Y, Radu E, Tchrakian D H 2010 Phys. Rev. D 81 064005
[42] Zhao Z, Zhu J Y, Liu W B 1999 Chin. Phys. Lett. 16 698
[43] Flanagan E E, Hughes S A 2005 New J. Phys. 7 204
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[1] Hawking S W 1974 Nature 248 30
[2] Hawking S W 1975 Commun. Math. Phys. 43 199
[3] Robinson S P, Wilczek F 2005 Phys. Rev. Lett. 95 011303
[4] Iso S, Umetsu H, Wilczek F 2006 Phys. Rev. Lett. 96 151302
[5] Das S, Robinson S P, Vagenas E C 2008 Int. J. Mod. Phys. D 17 533
[6] Xu Z, Chen B 2007 Phys. Rev. D 75 024041
[7] Jiang Q Q, Wu S Q, Cai X 2007 Phys. Lett. B 651 58
[8] Murata K, Soda J 2006 Phys. Rev. D 74 044018
[9] Vagenas E C, Das S 2006 JHEP 0610 025
[10] Setare M R 2007 Eur. Phys. J. C 49 865
[11] Jiang Q Q, Wu S Q, Cai X, 2007 Phys. Rev. D 75 064029
[12] Jiang Q Q, Wu S Q 2007 Phys. Lett. B 647 200
[13] Iso S, Umetsu H, Wilczek F 2006 Phys. Rev. D 74 044017
[14] Iso S, Morita T, Umetsu H 2007 J. High. Energy Phys. 04 068
[15] Yang S Z, Li H L, Jiang Q Q, Liu M Q 2007 Sci. China G 50 249
[16] Yang S Z, Chen D Y 2007 Inter. J. Theor. Phys. 46 2923
[17] Chen D Y, Yang S Z 2007 New J. Phys. 9 252
[18] Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042
[19] Vagenas E C 2001 Phys. Lett. B 503 399
[20] Vagenas E C 2002 Mod. Phys. Lett. A 17 609
[21] Vagenas E C 2002 Phys. Lett. B 533 302
[22] Medved A J M 2002 Class. Quant. Grav. 19 589
[23] Parikh M K 2002 Phys. Lett. B 546 189
[24] Medved A J M 2002 Phys. Rev. D 66 124009
[25] Vagenas E C 2003 Phys. Lett. B 559 65
[26] Parikh M K 2004 Energy Conservation and Hawking Radiation arXiv: 0402166[hep-th]
[27] Kerner R, Mann R B 2008 Class. Quant. Grav. 25 095014
[28] Kerner R, Mann R B 2008 Phys. Lett. B 665 277
[29] Li R, Ren J R, Wei S W 2008 Class. Quant. Grav. 25 125016
[30] Li R, Ren J R 2008 Phys. Lett. B 661 370
[31] Chen D Y, Jiang Q Q, Zu X T 2008 Class. Quant. Grav. 25 205022
[32] Chen D Y, Jiang Q Q, Zu X T 2008 Phys. Lett. B 665 106
[33] Zeng X X, Yang S Z 2008 Gen. Rel. Grav. 40 2107
[34] Lin K, Yang S Z 2009 Phys. Rev. D 79 064035
[35] Lin K, Yang S Z 2009 Phys. Lett. B 674 127
[36] Lin K, Yang S Z 2009 Phys. Lett. B 680 506
[37] Lin K, Yang S Z 2010 Chin. Phys. B 11 110403
[38] Yang S Z, Lin K 2010 Sci. China 40 507 (in Chinese) [杨树政,林恺 2010 中国科学 40 507]
[39] Yang S Z, Lin K 2010 Acta Phys. Sin. 59 5266 (in Chinese) [杨树政, 林恺 2010 物理学报 59 5266]
[40] Brihaye Y, Radu E, Tchrakian D H 2011 Phys. Rev. Lett. 106 071101
[41] Brihaye Y, Radu E, Tchrakian D H 2010 Phys. Rev. D 81 064005
[42] Zhao Z, Zhu J Y, Liu W B 1999 Chin. Phys. Lett. 16 698
[43] Flanagan E E, Hughes S A 2005 New J. Phys. 7 204
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