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We extend the Damour-Ruffini method and discuss Hawking radiation of Kerr-Newman-de Sitter black hole. Under the condition that the total energy and angular momentum of spacetime are conserved, taking the reaction of the radiation of particles to the spacetime into consideration and considering the interrelation between the black hole event horizon and the cosmological horizon, we obtain the black hole radiation spectrum. This radiation is no longer a strictly pure thermal spectrum. It is related to the change in Bekenstein-Hawking(B-H) entropy corresponding to black hole event horizon and the cosmological horizon. It is shown that the result satisfies the unitary principle. We also derive the correction term of B-H entropy. It leads to a new understanding of thermal radiation of the black hole.
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Keywords:
- Kerr-Newman-de Sitter black hole /
- energy conservation /
- correction to Bekenstein-Hawking entropy
[1] ［1］Hawking S W 1975 Commun. Math. Phys. 43 199
[2] ［2］Damour T, Ruffini R 1976 Phys. Rev. D 14 332
[3] ［3］Sannan S 1988 Gen. Rel. Grav. 20 239
[4] ［4］Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042
[5] ［5］Robison S P, Wilczek F 2005 Phys. Rev. Lett. 95 011313
[6] ［6］Jiang Q Q, Wu S Q, Cai X 2007 Phys. Rev. D 75 064029
[7] ［7］Zhang J Y 2008 Phys. Lett. B 668 353
[8] ［8］Li R, Ren J R 2008 Phys. Lett. B 661 370
[9] ［9］Lin K, Yang S Z 2009 Phys. Lett. B 674 127
[10] ］Lin K, Yang S Z 2009 Phys. Rev. D 79 064035
[11] ］Zhou S W, Liu W B 2008 Phys. Rev. D 77 104021
[12] ］Zhao R, Wu Y Q, Zhang L C, Li H F 2009 Eur. Phys. J. C 60 685
[13] ］Zhang L C, Wu Y Q, Li H F, Zhao R 2009 Europhys. Lett. 86 59002
[14] ］Chen D Y, Jiang Q Q, Z X T 2008 Phys. Lett. B 665 106
[15] ］Li H L, Jiang Q Q, Yang S Z 2006 Acta Phys. Sin. 55 539 (in Chinese) ［李慧玲、蒋青权、杨树政 2006 55 539］
[16] ］Zhang J Y，Zhao Z 2006 Acta Phys. Sin. 55 3796 (in Chinese) ［张靖仪、赵峥 2006 55 3796］
[17] ］Jiang Q Q, Wu S Q, Cai X 2007 Acta Phys. Sin. 56 3083 (in Chinese) ［蒋青权、吴双清、蔡勖 2007 56 3083］
[18] ］Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese) ［刘文彪 2007 56 6164］
[19] ］Zhao R, Zhang L C, Li H F 2008 Acta Phys. Sin. 57 7463 (in Chinese) ［ 赵仁、张丽春、李怀繁 2008 57 7463］
[20] ］Hu Y P, Zhang J Y, Zhao Z 2007 Acta Phys. Sin. 56 683 (in Chinese) ［胡亚鹏、张靖仪、赵峥 2007 56 683］
[21] ］Hu S Q, Zhang L C, Zhao R 2009 Acta Phys. Sin. 58 6798 (in Chinese)［胡双启、张丽春、 赵仁 2009 58 6798］
[22] ］Chatterjee B, Mitra P 2009 Phys. Lett. B 675
[23] ］Medved A J M, Vagenas E C 2004 Phys. Rev. D 70 124021
[24] ］Chatterjee A, Majumdar P 2004 Phys. Rev. Lett. 92 141301
[25] ］Kaul R K, Majumdar P 2000 Phys. Rev. Lett. 84 5255
[26] ］Camellia G A, Arzano M, Procaccini A 2004 Phys. Rev. D 70 107501
[27] ］Chatterjee A, Majumdar P 2005 Phys. Rev. D 71 024003
[28] ］Zhao R, Zhang S L 2006 Phys. Lett. B 641 318
[29] ］Zhao R, Zhang S L 2006 Phys. Lett. B 641 208
[30] ］Banerjee R, Majhi B R 2008 J. High Energ. Phys. 0806 095
[31] ］Banerjee R, Majhi B. R 2008 Phys. Lett. B 662 62
[32] ］Zhang L C, Wu Y Q, Zhao R 2008 Sci. Chin. Ser. G 51 11214
[33] ］Modak S K 2009 Phys. Lett. B 671 167
[34] ］Setare M R, Altaie M B 2003 Eur. Phys. J. C 30 273
[35] ］Cai R G 2002 Nucl. Phys. B 628 375
[36] ］Li H F, Zhang S L, Wu Y Q, Zhang L C, Zhao R 2009 Eur. Phys. J. C 63 133
[37] ］Dehghani M H, Khajehazad H 2003 Can. J. Phys. 81 1363
[38] ］Kodama H, Konoplya R A, Zhidenko A 2009 Phys. Rev. D 79 044003
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[1] ［1］Hawking S W 1975 Commun. Math. Phys. 43 199
[2] ［2］Damour T, Ruffini R 1976 Phys. Rev. D 14 332
[3] ［3］Sannan S 1988 Gen. Rel. Grav. 20 239
[4] ［4］Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5042
[5] ［5］Robison S P, Wilczek F 2005 Phys. Rev. Lett. 95 011313
[6] ［6］Jiang Q Q, Wu S Q, Cai X 2007 Phys. Rev. D 75 064029
[7] ［7］Zhang J Y 2008 Phys. Lett. B 668 353
[8] ［8］Li R, Ren J R 2008 Phys. Lett. B 661 370
[9] ［9］Lin K, Yang S Z 2009 Phys. Lett. B 674 127
[10] ］Lin K, Yang S Z 2009 Phys. Rev. D 79 064035
[11] ］Zhou S W, Liu W B 2008 Phys. Rev. D 77 104021
[12] ］Zhao R, Wu Y Q, Zhang L C, Li H F 2009 Eur. Phys. J. C 60 685
[13] ］Zhang L C, Wu Y Q, Li H F, Zhao R 2009 Europhys. Lett. 86 59002
[14] ］Chen D Y, Jiang Q Q, Z X T 2008 Phys. Lett. B 665 106
[15] ］Li H L, Jiang Q Q, Yang S Z 2006 Acta Phys. Sin. 55 539 (in Chinese) ［李慧玲、蒋青权、杨树政 2006 55 539］
[16] ］Zhang J Y，Zhao Z 2006 Acta Phys. Sin. 55 3796 (in Chinese) ［张靖仪、赵峥 2006 55 3796］
[17] ］Jiang Q Q, Wu S Q, Cai X 2007 Acta Phys. Sin. 56 3083 (in Chinese) ［蒋青权、吴双清、蔡勖 2007 56 3083］
[18] ］Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese) ［刘文彪 2007 56 6164］
[19] ］Zhao R, Zhang L C, Li H F 2008 Acta Phys. Sin. 57 7463 (in Chinese) ［ 赵仁、张丽春、李怀繁 2008 57 7463］
[20] ］Hu Y P, Zhang J Y, Zhao Z 2007 Acta Phys. Sin. 56 683 (in Chinese) ［胡亚鹏、张靖仪、赵峥 2007 56 683］
[21] ］Hu S Q, Zhang L C, Zhao R 2009 Acta Phys. Sin. 58 6798 (in Chinese)［胡双启、张丽春、 赵仁 2009 58 6798］
[22] ］Chatterjee B, Mitra P 2009 Phys. Lett. B 675
[23] ］Medved A J M, Vagenas E C 2004 Phys. Rev. D 70 124021
[24] ］Chatterjee A, Majumdar P 2004 Phys. Rev. Lett. 92 141301
[25] ］Kaul R K, Majumdar P 2000 Phys. Rev. Lett. 84 5255
[26] ］Camellia G A, Arzano M, Procaccini A 2004 Phys. Rev. D 70 107501
[27] ］Chatterjee A, Majumdar P 2005 Phys. Rev. D 71 024003
[28] ］Zhao R, Zhang S L 2006 Phys. Lett. B 641 318
[29] ］Zhao R, Zhang S L 2006 Phys. Lett. B 641 208
[30] ］Banerjee R, Majhi B R 2008 J. High Energ. Phys. 0806 095
[31] ］Banerjee R, Majhi B. R 2008 Phys. Lett. B 662 62
[32] ］Zhang L C, Wu Y Q, Zhao R 2008 Sci. Chin. Ser. G 51 11214
[33] ］Modak S K 2009 Phys. Lett. B 671 167
[34] ］Setare M R, Altaie M B 2003 Eur. Phys. J. C 30 273
[35] ］Cai R G 2002 Nucl. Phys. B 628 375
[36] ］Li H F, Zhang S L, Wu Y Q, Zhang L C, Zhao R 2009 Eur. Phys. J. C 63 133
[37] ］Dehghani M H, Khajehazad H 2003 Can. J. Phys. 81 1363
[38] ］Kodama H, Konoplya R A, Zhidenko A 2009 Phys. Rev. D 79 044003
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