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Using the thin film model of black hole, the thermal radiation laws of the Barriola-Vilenkin black hole are studied. We obtained the result that the thermal radiation of the black hole always satisfies the generalized Stenfan-Boltzmann law. The derived generalized Stenfan-Boltzmann coefficient is no longer a constant. When the cut-off distance and the thin film thickness are both fixed, it is a proportional coefficient related to the space-time metric near the event horizon and the average radial effusion velocity of the radiation particles in the thin film. The radiation energy flux of the Dirac field of the Barriola-Vilenkin black hole is proportional to the average radial effusion velocity of the radiation particles in the thin film, and inversely proportional to the square of the black hole mass.
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Keywords:
- Barriola-Vilenkin black hole /
- thin film model /
- generalized Stenfan-Boltzmann law /
- radiation energy flux
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[2] Hawking S W 1974 Nature 248 30
[3] ’t Hooft G 1985 Nucl. Phys. B 256 727
[4] Li X, Zhao Z 2000 Phys. Rev. D 62 104001
[5] Gao C J, Liu W B 2000 Int. J. Theor. Phys. 39 2221
[6] Li X, Zhao Z 2001 Chin. Phys. Lett. 18 463
[7] Liu W B, Zhao Z 2001 Chin. Phys. Lett. 18 310
[8] He F, Zhao Z, Kim S W 2001 Phys. Rev. D 64 044025
[9] He H, Zhao Z, Zhang L H 2002 Int. J. Theor. Phys. 41 1781
[10] Liu W B, Zhao Z 2001 Int. J. Mod. Phys. A 16 3793
[11] Gao C J, Shen Y G 2003 Sci. China G 33 561 (in Chinese) [高长军、 沈有根 2003 中国科学 G 33 561]
[12] Meng Q M, Su J Q , Li C A 2003 Acta Phys. Sin. 52 1822 (in Chinese) [孟庆苗、 苏九清、 李传安 2003 52 1822]
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[14] Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5024
[15] Zhang J Y, Zhao Z 2005 Phys. Lett. B 618 14
[16] Yang S Z, Li H L, Jiang Q Q, Liu M Q 2007 Sci. China G 37 66 (in Chinese) [杨树政、 李慧玲、 蒋青权、 刘门全 2007中国科学G 37 66]
[17] Jiang J J, Meng Q M, Wang S 2009 Int. J. Theor. Phys. 48 2826
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[19] Jiang Q Q, Yang S Z, Wu S Q 2006 Chin. Phys. 15 2523
[20] He T M, Fan J H, Wang Y J 2008 Chin. Phys. B 17 2321
[21] Zhou S W, Liu B, Huang J L, Liu W B 2010 Chin. Phys. B 19 010403
[22] Meng Q M 2003 Acta Phys. Sin. 52 2102 (in Chinese) [孟庆苗 2003 52 2102]
[23] Meng Q M 2005 Acta Phys. Sin. 54 471 (in Chinese) [孟庆苗 2005 54 471] 〖24] Meng Q M, Su J Q, Jiang J J 2007 Acta Phys. Sin. 56 5077 (in Chinese) [孟庆苗、 苏九清、 蒋继建 2007 56 5077]
[24] Meng Q M, Jiang J J 2008 Sci. China G 38 171(in Chinese) [孟庆苗、 蒋继建 2008 中国科学 G 38 171]
[25] Meng Q M, Wang S, Jiang J J, Deng D L 2008 Chin. Phys. B 17 2811
[26] Jiang J J, Meng Q M, Wang S 2009 Chin. Phys. B 18 456
[27] Meng Q M, Jiang J J, Liu J L, Deng D L 2009 Acta Phys. Sin. 58 78 (in Chinese) [孟庆苗、 蒋继建、 刘景伦、 邓德力 2009 58 78]
[28] Meng Q M, Jiang J J,Wang S 2009 Acta Phys. Sin. 58 7486 (in Chinese) [孟庆苗、 蒋继建、 王 帅 2009 58 7486]
[29] Meng Q M, Jiang J J, Li C A 2010 Acta Phys. Sin. 59 778 (in Chinese) [孟庆苗、 蒋继建、 李传安 2010 59 778]
[30] Meng Q M, Jiang J J, Li C A 2010 Acta Phys. Sin. 59 1487 (in Chinese) [孟庆苗、 蒋继建、 李传安 2010 59 1487]
[31] Barriola M, Vilenkin A 1989 Phys. Rev. Lett. 63 341
[32] Li G Q 2004 Acta Phys. Sin. 53 3673 (in Chinese) [李固强2004 53 3673]
[33] Li C A, Meng Q M, Su J Q 2002 Acta Phys. Sin. 51 1897 (in Chinese) [李传安、 孟庆苗、 苏九清2002 51 1897]
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[1] Bekenstein J D 1973 Phys. Rev. D 7 2333
[2] Hawking S W 1974 Nature 248 30
[3] ’t Hooft G 1985 Nucl. Phys. B 256 727
[4] Li X, Zhao Z 2000 Phys. Rev. D 62 104001
[5] Gao C J, Liu W B 2000 Int. J. Theor. Phys. 39 2221
[6] Li X, Zhao Z 2001 Chin. Phys. Lett. 18 463
[7] Liu W B, Zhao Z 2001 Chin. Phys. Lett. 18 310
[8] He F, Zhao Z, Kim S W 2001 Phys. Rev. D 64 044025
[9] He H, Zhao Z, Zhang L H 2002 Int. J. Theor. Phys. 41 1781
[10] Liu W B, Zhao Z 2001 Int. J. Mod. Phys. A 16 3793
[11] Gao C J, Shen Y G 2003 Sci. China G 33 561 (in Chinese) [高长军、 沈有根 2003 中国科学 G 33 561]
[12] Meng Q M, Su J Q , Li C A 2003 Acta Phys. Sin. 52 1822 (in Chinese) [孟庆苗、 苏九清、 李传安 2003 52 1822]
[13] Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2752
[14] Parikh M K, Wilczek F 2000 Phys. Rev. Lett. 85 5024
[15] Zhang J Y, Zhao Z 2005 Phys. Lett. B 618 14
[16] Yang S Z, Li H L, Jiang Q Q, Liu M Q 2007 Sci. China G 37 66 (in Chinese) [杨树政、 李慧玲、 蒋青权、 刘门全 2007中国科学G 37 66]
[17] Jiang J J, Meng Q M, Wang S 2009 Int. J. Theor. Phys. 48 2826
[18] Meng Q M, Su J Q, Jiang J J 2007 Acta Phys. Sin. 56 3723 (in Chinese) [孟庆苗、 苏九清、 蒋继建 2007 56 3723]
[19] Jiang Q Q, Yang S Z, Wu S Q 2006 Chin. Phys. 15 2523
[20] He T M, Fan J H, Wang Y J 2008 Chin. Phys. B 17 2321
[21] Zhou S W, Liu B, Huang J L, Liu W B 2010 Chin. Phys. B 19 010403
[22] Meng Q M 2003 Acta Phys. Sin. 52 2102 (in Chinese) [孟庆苗 2003 52 2102]
[23] Meng Q M 2005 Acta Phys. Sin. 54 471 (in Chinese) [孟庆苗 2005 54 471] 〖24] Meng Q M, Su J Q, Jiang J J 2007 Acta Phys. Sin. 56 5077 (in Chinese) [孟庆苗、 苏九清、 蒋继建 2007 56 5077]
[24] Meng Q M, Jiang J J 2008 Sci. China G 38 171(in Chinese) [孟庆苗、 蒋继建 2008 中国科学 G 38 171]
[25] Meng Q M, Wang S, Jiang J J, Deng D L 2008 Chin. Phys. B 17 2811
[26] Jiang J J, Meng Q M, Wang S 2009 Chin. Phys. B 18 456
[27] Meng Q M, Jiang J J, Liu J L, Deng D L 2009 Acta Phys. Sin. 58 78 (in Chinese) [孟庆苗、 蒋继建、 刘景伦、 邓德力 2009 58 78]
[28] Meng Q M, Jiang J J,Wang S 2009 Acta Phys. Sin. 58 7486 (in Chinese) [孟庆苗、 蒋继建、 王 帅 2009 58 7486]
[29] Meng Q M, Jiang J J, Li C A 2010 Acta Phys. Sin. 59 778 (in Chinese) [孟庆苗、 蒋继建、 李传安 2010 59 778]
[30] Meng Q M, Jiang J J, Li C A 2010 Acta Phys. Sin. 59 1487 (in Chinese) [孟庆苗、 蒋继建、 李传安 2010 59 1487]
[31] Barriola M, Vilenkin A 1989 Phys. Rev. Lett. 63 341
[32] Li G Q 2004 Acta Phys. Sin. 53 3673 (in Chinese) [李固强2004 53 3673]
[33] Li C A, Meng Q M, Su J Q 2002 Acta Phys. Sin. 51 1897 (in Chinese) [李传安、 孟庆苗、 苏九清2002 51 1897]
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