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Hawking radiation in a dynamical Kerr black hole using a new tortoise coordinate

Xie Zhi-Kun

Hawking radiation in a dynamical Kerr black hole using a new tortoise coordinate

Xie Zhi-Kun
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  • Hawking radiation from a dynamical Kerr black hole is investigated using a new tortoise coordinate and the improved Damour-Ruffini method. The local temperature changing with time and latitude angle and the Hawking radiation with quasi-blackbody spectrum are obtained. The present results are different from the existing results obtained by using usual tortoise coordinate. There exists a certain problem in dimension for the usual tortoise coordinate and the present results may be more reasonable.
    • Funds:
    [1]

    Hawking S W 1975 Commun. Math.Phys. 43 199

    [2]

    Gibbons G W, Perry M J 1978 Proc. Roy. Soc. Lond. A 355

    [3]

    Damour T, Ruffini R 1976 Phys. Rev. D 14 332

    [4]

    Hartle J B, Hawking S W 1976 Phys. Rev. D 13 2188

    [5]

    Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2752

    [6]

    Boulware D 1975 Phys. Rev. D 11 1404

    [7]

    Brirrell N D, Davies P C W 1982 Quantum Fields in Curved Space (England: Cambridge University Press) 185

    [8]

    Punsly B 1992 Phys. Rev. D 46 1288

    [9]

    Lapedes A S 1978 J. Math. Phys. 19 2289

    [10]

    Rosu H C 1994 arXiv: 9405072

    [11]

    Sannan S 1988 Gen. Rel. Grav. 20 239

    [12]

    Zhao Z, Zhang J H, Zhu J Y 1995 J. Theor. Phys. 34 2039

    [13]

    Wang G Z,Wang J L, Yang X J 2004 Journal of Taiyuan University of Technology 35(3) 368 (in Chinese) [王钢柱、王纪龙、杨学军 2004 太原理工大学学报 35(3) 368]

    [14]

    Lou M W 2000 Acta Phys. Sin. 49 1035 (in Chinese)[卢卯旺 2000 物理学报49 1035]

    [15]

    Ma Y, Yang S Z 1997 Acta Phys. Sin. 46 2280(in Chinese)[马 勇、杨树政 1997 物理学报 46 2280]

    [16]

    Zhao Z, Yang J, Liu W B 2010 Journal of Beijing Normal University (Natural Science) 46(1) 32(in Chinese) [赵 峥、杨 健、刘文彪 2010 北京师范大学学报(自然科学版) 46(1) 32]

    [17]

    Liu X M, Liu W B 2011 Astrophysic. Space Sci. 331 237

    [18]

    Yang X J, Zhao Z 2003 Gen.Rel.Grav. 35 (4) 579

    [19]

    Yang X J, Zhao Z 2005 Int. J. Mod. Phys. A 20 1353

    [20]

    Wu Y J, Zhao Z, Yang X J 2004 Class.Quant.Grav. 21 2595

    [21]

    Pan W Z, Yang X J, Xie Z K 2011 Chin Phys. B 20 049701

    [22]

    Liu L, Zhao Z, Tian G H, Zhang J Y 2008 Black holes and the nature of time (Beijing: Peking University Press)p17 (in Chinese) [刘 辽、赵 峥、田贵花、张靖仪 2008 黑洞与时间的性质(北京:北京大学出版社)第17页]

    [23]

    Zhao R, Zhang L C, Li H F 2010 Acta Phys. Sin. 59 2982

    [24]

    Zhou L, Zhang J Y 2010 Acta Phys. Sin. 59 4380 (in Chinese)[周 亮、张靖仪 2010 物理学报 59 4380]

    [25]

    Liu C Z, Zhang C P, Wang Z L 2009 Acta Phys. Sin. 58 7491 (in Chinese)[刘成周、张昌平、王忠林 2009 物理学报 58 7491]

    [26]

    Liu C Z, Zhang J Y, Zhao Z 2006 Phys. Lett. B 639 670

    [27]

    Xie Z K, Yu G X, Liu C Z 2010 Acta Phys. Sin. 59 4390 (in Chinese)[谢志堃、余国祥、刘成周 2010 物理学报 59 4390]

    [28]

    Liu C Z, Zhu J Y 2008 Gen. Rel. Grav 40 1899

    [29]

    Zhou S W, Liu B, Huang J L, Liu W B 2010 Chin. Phys. B 19 010403

  • [1]

    Hawking S W 1975 Commun. Math.Phys. 43 199

    [2]

    Gibbons G W, Perry M J 1978 Proc. Roy. Soc. Lond. A 355

    [3]

    Damour T, Ruffini R 1976 Phys. Rev. D 14 332

    [4]

    Hartle J B, Hawking S W 1976 Phys. Rev. D 13 2188

    [5]

    Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2752

    [6]

    Boulware D 1975 Phys. Rev. D 11 1404

    [7]

    Brirrell N D, Davies P C W 1982 Quantum Fields in Curved Space (England: Cambridge University Press) 185

    [8]

    Punsly B 1992 Phys. Rev. D 46 1288

    [9]

    Lapedes A S 1978 J. Math. Phys. 19 2289

    [10]

    Rosu H C 1994 arXiv: 9405072

    [11]

    Sannan S 1988 Gen. Rel. Grav. 20 239

    [12]

    Zhao Z, Zhang J H, Zhu J Y 1995 J. Theor. Phys. 34 2039

    [13]

    Wang G Z,Wang J L, Yang X J 2004 Journal of Taiyuan University of Technology 35(3) 368 (in Chinese) [王钢柱、王纪龙、杨学军 2004 太原理工大学学报 35(3) 368]

    [14]

    Lou M W 2000 Acta Phys. Sin. 49 1035 (in Chinese)[卢卯旺 2000 物理学报49 1035]

    [15]

    Ma Y, Yang S Z 1997 Acta Phys. Sin. 46 2280(in Chinese)[马 勇、杨树政 1997 物理学报 46 2280]

    [16]

    Zhao Z, Yang J, Liu W B 2010 Journal of Beijing Normal University (Natural Science) 46(1) 32(in Chinese) [赵 峥、杨 健、刘文彪 2010 北京师范大学学报(自然科学版) 46(1) 32]

    [17]

    Liu X M, Liu W B 2011 Astrophysic. Space Sci. 331 237

    [18]

    Yang X J, Zhao Z 2003 Gen.Rel.Grav. 35 (4) 579

    [19]

    Yang X J, Zhao Z 2005 Int. J. Mod. Phys. A 20 1353

    [20]

    Wu Y J, Zhao Z, Yang X J 2004 Class.Quant.Grav. 21 2595

    [21]

    Pan W Z, Yang X J, Xie Z K 2011 Chin Phys. B 20 049701

    [22]

    Liu L, Zhao Z, Tian G H, Zhang J Y 2008 Black holes and the nature of time (Beijing: Peking University Press)p17 (in Chinese) [刘 辽、赵 峥、田贵花、张靖仪 2008 黑洞与时间的性质(北京:北京大学出版社)第17页]

    [23]

    Zhao R, Zhang L C, Li H F 2010 Acta Phys. Sin. 59 2982

    [24]

    Zhou L, Zhang J Y 2010 Acta Phys. Sin. 59 4380 (in Chinese)[周 亮、张靖仪 2010 物理学报 59 4380]

    [25]

    Liu C Z, Zhang C P, Wang Z L 2009 Acta Phys. Sin. 58 7491 (in Chinese)[刘成周、张昌平、王忠林 2009 物理学报 58 7491]

    [26]

    Liu C Z, Zhang J Y, Zhao Z 2006 Phys. Lett. B 639 670

    [27]

    Xie Z K, Yu G X, Liu C Z 2010 Acta Phys. Sin. 59 4390 (in Chinese)[谢志堃、余国祥、刘成周 2010 物理学报 59 4390]

    [28]

    Liu C Z, Zhu J Y 2008 Gen. Rel. Grav 40 1899

    [29]

    Zhou S W, Liu B, Huang J L, Liu W B 2010 Chin. Phys. B 19 010403

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  • Received Date:  10 September 2010
  • Accepted Date:  07 January 2011
  • Published Online:  15 September 2011

Hawking radiation in a dynamical Kerr black hole using a new tortoise coordinate

  • 1. Department of Physics and Electronic Information,Shaoxing University,Shaoxing 312000,China

Abstract: Hawking radiation from a dynamical Kerr black hole is investigated using a new tortoise coordinate and the improved Damour-Ruffini method. The local temperature changing with time and latitude angle and the Hawking radiation with quasi-blackbody spectrum are obtained. The present results are different from the existing results obtained by using usual tortoise coordinate. There exists a certain problem in dimension for the usual tortoise coordinate and the present results may be more reasonable.

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