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Radiation spectrum of Kerr-Newman-de Sitter black hole and correction to its entropy

Zhang Li-Chun Zhao Ren

Radiation spectrum of Kerr-Newman-de Sitter black hole and correction to its entropy

Zhang Li-Chun, Zhao Ren
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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.
    • Funds:
    [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 物理学报 55 539]

    [16]

    ]Zhang J Y,Zhao Z 2006 Acta Phys. Sin. 55 3796 (in Chinese) [张靖仪、赵峥 2006 物理学报 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 物理学报 56 3083]

    [18]

    ]Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese) [刘文彪 2007 物理学报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 物理学报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 物理学报 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 物理学报 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

  • [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 物理学报 55 539]

    [16]

    ]Zhang J Y,Zhao Z 2006 Acta Phys. Sin. 55 3796 (in Chinese) [张靖仪、赵峥 2006 物理学报 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 物理学报 56 3083]

    [18]

    ]Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese) [刘文彪 2007 物理学报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 物理学报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 物理学报 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 物理学报 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

  • [1] Li Gu-Qiang. Statistical entropy of Kerr-Newman-de Sitter black hole. Acta Physica Sinica, 2005, 54(7): 3005-3008. doi: 10.7498/aps.54.3005
    [2] Zhang Li-Chun, Hu Shuang-Qi, Zhao Ren. Hawking radiation of Schwarzschild-de Sitter black hole. Acta Physica Sinica, 2009, 58(10): 6798-6801. doi: 10.7498/aps.58.6798
    [3] Han Yi-Wen. Using quantum tunneling method Hawking radiation of a static black hole horizon with a mass-quadrupole moment is studied. Acta Physica Sinica, 2005, 54(11): 5018-5021. doi: 10.7498/aps.54.5018
    [4] Zhao Ren, Zhang Li-Chun, Li Huai-Fan. Hawking radiation of black hole. Acta Physica Sinica, 2008, 57(12): 7463-7466. doi: 10.7498/aps.57.7463
    [5] Zhao Ren, Zhang Li-Chun, Li Huai-Fan. Hawking radiation of Kerr-Newman black hole. Acta Physica Sinica, 2010, 59(5): 2982-2986. doi: 10.7498/aps.59.2982
    [6] Meng Qing-Miao, Su Jiu-Qing, Jiang Ji-Jian. Massive particle quantum tunneling radiation of Barriola-Vilenkin black hole with global monopole. Acta Physica Sinica, 2007, 56(7): 3723-3726. doi: 10.7498/aps.56.3723
    [7] Li Hui-Ling, Jiang Qing-Quan, Yang Shu-Zheng. The quantum tunneling effect of Reissner-Nordstr?m de Sitter black hole. Acta Physica Sinica, 2006, 55(2): 539-542. doi: 10.7498/aps.55.539
    [8] Ren Ji-Rong, Zhu Hui. A new method of calculating the deflection of light by gravitational field. Acta Physica Sinica, 2009, 58(1): 690-694. doi: 10.7498/aps.58.690
    [9] Zhang Rong-Pei, Wang Di, Yu Xi-Jun, Wen Xue-Bing. Two-dimensional wave equation solved by generalized alternating flux based local discontinuous Galerkin method. Acta Physica Sinica, 2020, 69(2): 020202. doi: 10.7498/aps.69.20190613
    [10] Lin Kai, Yang Shu-Zheng. Tunneling radiation and entropy correction of arbitrary spin particles in Kerr-de Sitter black hole. Acta Physica Sinica, 2010, 59(8): 5266-5270. doi: 10.7498/aps.59.5266
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  • Received Date:  09 July 2009
  • Accepted Date:  29 July 2009
  • Published Online:  15 April 2010

Radiation spectrum of Kerr-Newman-de Sitter black hole and correction to its entropy

  • 1. 山西大同大学物理系,理论物理研究所,大同 037009

Abstract: 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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