Instantaneous radiation energy flux and instantaneous radiation power of dynamic spherically symmetric black holes

Meng Qing-Miao; Jiang Ji-Jian; Li Chuan-An

doi:10.7498/aps.59.1481

Abstract

By the thin film model and the local thermal equilibrium assumption, the instantaneous radiation power and instantaneous radiation energy flux near the event horizon of the dynamic spherically symmetric black hole have been studied. When the cut-off distance η takes a fixed value, the following results can be obtained. For Vaidya black hole, its instantaneous radiation energy flux of the scalar field near the event horizon is related to both the black hole mass and the change rate of the event horizon. But its instantaneous radiation power is only related to the change rate of the horizon. For Vaidya-Bonner black hole, the instantaneous radiation power and instantaneous radiation energy flux are all related to the mass, the charge of the black hole and the change rate of the event horizon. These results show that the gravitational field, electromagnetic field and the change of the horizon will all affect the thermal radiation of the black hole.

Keywords:

dynamic spherically symmetric black holes /
thin film model /
instantaneous radiation energy flux /
instantaneous radiation power

Authors and contacts

1.
菏泽学院物理系,菏泽 274015

References

[1]	［1]Hawking S W 1974 Nature 248 30
[2]	［2]Hawking S W 1975 Commun. Math. Phys. 43 199
[3]	［3] ’ t Hooft G 1985 Nucl. Phys. B 256 727
[4]	［4]Parikh M K , Wilczek F 2000 Phys. Rev. Lett. 85 5024
[5]	［5]Zhao Z 1999 Black Hole Thermodynamics and Singularity of Spacetime （Beijing:Beijing Nomal University Press） p70, 256（in Chinese）［赵峥 1999 黑洞的热性质与时空的奇异性（北京:北京师范大学出版社）第70,256页］
[6]	［6]Gao C J,Shen Y G 2003 Sic. China G 33 561（in Chinese）［高长军、沈有根 2003 中国科学 G 33 561］
[7]	［7]Liu C Z 2007 Sic. China G 37 146（in Chinese）［刘成周 2007 中国科学 G 37 146］
[8]	［8]Li C A, Su J Q , Jiang J J,Meng Q M 2009 Sic. China G 39 280（in Chinese）［李传安、苏九清、蒋继建、孟庆苗. 2009 中国科学 G 39 280］
[9]	［9]Liu W B,Zhao Z 2001 Chin. Phys. Lett. 18 310
[10]	［10]Li X,Zhao Z 2001 Chin. Phys. Lett. 18 463
[11]	［11]Li C A, Wei X Q,Meng Q M, Liu J L 2002 Acta Phys. Sin. 51 2173 （in Chinese）［李传安、魏显起、孟庆苗、刘景伦 2002 51 2173］
[12]	［12]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］
[13]	［13]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］
[14]	［14]Niu Z F, Liu W B 2005 Acta Phys. Sin. 54 457 （in Chinese）［牛振风、刘文彪 2005 54 475］
[15]	［15]Yang B 2008 Acta Phys. Sin. 57 2614 （in Chinese）［杨波 2008 57 2614］
[16]	［16]Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2752
[17]	［17]Yang S Z,Li H L,Jiang Q Q,Liu M Q 2007 Sic. 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］
[18]	［18]Zhang J Y,Zhao Z 2006 Acta Phys. Sin. 55 3796（in Chinese）［张靖仪、赵峥 2006 55 3796］
[19]	［19]Han Y W 2007 Chin. Phys. 16 923
[20]	［20]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］
[21]	［21]He T M, Fan J H, Wang Y J 2008 Chin. Phys. B 17 2321
[22]	［22]Meng Q M 2003 Acta Phys.Sin. 52 2102 （in Chinese）［孟庆苗 2003 52 2102］
[23]	［23]Meng Q M 2005 Acta Phys.Sin. 54 471 （in Chinese）［孟庆苗 2005 54 471］
[24]	［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］
[25]	［25]Meng Q M, Jiang J J 2008 Sic. China G 38 171（in Chinese）［孟庆苗、蒋继建 2008 中国科学 G 38 171］
[26]	［26]Meng Q M, Wang S,Jiang J J ,Deng D L 2008 Chin.Phys.B 17 2811
[27]	［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]	［28]Jiang J J ,Meng Q M, Wang S 2009 Chin.Phys.B 18 456
[29]	［29]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］
[30]	［30]Zhang J H,Meng Q M,Li C A 1996 Acta Phys.Sin. 45 177 （in Chinese）［张建华、孟庆苗、李传安 1996 45 177］
[31]	［31]Zhao Z 2000 Black holes and curved space-time（Taiyuan：Shanxi Science and Technology Press） p204, 246（in Chinese）［赵峥 2000 黑洞与弯曲的时空（太原:山西科学技术出版社）第204,246页）］

Cited By

[1]	［1]Hawking S W 1974 Nature 248 30
[2]	［2]Hawking S W 1975 Commun. Math. Phys. 43 199
[3]	［3] ’ t Hooft G 1985 Nucl. Phys. B 256 727
[4]	［4]Parikh M K , Wilczek F 2000 Phys. Rev. Lett. 85 5024
[5]	［5]Zhao Z 1999 Black Hole Thermodynamics and Singularity of Spacetime （Beijing:Beijing Nomal University Press） p70, 256（in Chinese）［赵峥 1999 黑洞的热性质与时空的奇异性（北京:北京师范大学出版社）第70,256页］
[6]	［6]Gao C J,Shen Y G 2003 Sic. China G 33 561（in Chinese）［高长军、沈有根 2003 中国科学 G 33 561］
[7]	［7]Liu C Z 2007 Sic. China G 37 146（in Chinese）［刘成周 2007 中国科学 G 37 146］
[8]	［8]Li C A, Su J Q , Jiang J J,Meng Q M 2009 Sic. China G 39 280（in Chinese）［李传安、苏九清、蒋继建、孟庆苗. 2009 中国科学 G 39 280］
[9]	［9]Liu W B,Zhao Z 2001 Chin. Phys. Lett. 18 310
[10]	［10]Li X,Zhao Z 2001 Chin. Phys. Lett. 18 463
[11]	［11]Li C A, Wei X Q,Meng Q M, Liu J L 2002 Acta Phys. Sin. 51 2173 （in Chinese）［李传安、魏显起、孟庆苗、刘景伦 2002 51 2173］
[12]	［12]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］
[13]	［13]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］
[14]	［14]Niu Z F, Liu W B 2005 Acta Phys. Sin. 54 457 （in Chinese）［牛振风、刘文彪 2005 54 475］
[15]	［15]Yang B 2008 Acta Phys. Sin. 57 2614 （in Chinese）［杨波 2008 57 2614］
[16]	［16]Gibbons G W, Hawking S W 1977 Phys. Rev. D 15 2752
[17]	［17]Yang S Z,Li H L,Jiang Q Q,Liu M Q 2007 Sic. 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］
[18]	［18]Zhang J Y,Zhao Z 2006 Acta Phys. Sin. 55 3796（in Chinese）［张靖仪、赵峥 2006 55 3796］
[19]	［19]Han Y W 2007 Chin. Phys. 16 923
[20]	［20]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］
[21]	［21]He T M, Fan J H, Wang Y J 2008 Chin. Phys. B 17 2321
[22]	［22]Meng Q M 2003 Acta Phys.Sin. 52 2102 （in Chinese）［孟庆苗 2003 52 2102］
[23]	［23]Meng Q M 2005 Acta Phys.Sin. 54 471 （in Chinese）［孟庆苗 2005 54 471］
[24]	［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］
[25]	［25]Meng Q M, Jiang J J 2008 Sic. China G 38 171（in Chinese）［孟庆苗、蒋继建 2008 中国科学 G 38 171］
[26]	［26]Meng Q M, Wang S,Jiang J J ,Deng D L 2008 Chin.Phys.B 17 2811
[27]	［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]	［28]Jiang J J ,Meng Q M, Wang S 2009 Chin.Phys.B 18 456
[29]	［29]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］
[30]	［30]Zhang J H,Meng Q M,Li C A 1996 Acta Phys.Sin. 45 177 （in Chinese）［张建华、孟庆苗、李传安 1996 45 177］
[31]	［31]Zhao Z 2000 Black holes and curved space-time（Taiyuan：Shanxi Science and Technology Press） p204, 246（in Chinese）［赵峥 2000 黑洞与弯曲的时空（太原:山西科学技术出版社）第204,246页）］

[1]	Tong San-Qiang, Wang Bing-Zhong, Wang Ren. A tightly coupled dipole array used for radiation power improvement on finite radiation aperture. Acta Physica Sinica, 2021, 70(20): 204101. doi: 10.7498/aps.70.20210309
[2]	Yang Shu-Zheng, Lin Kai. Hawking radiation from the dynamical spherical symmetrically Einstein-Yang-Mills-Chern-Simons black hole. Acta Physica Sinica, 2013, 62(6): 060401. doi: 10.7498/aps.62.060401
[3]	Hong Qing-Quan, Zhong Wei-Bo, Yu Yan-Zhong, Cai Zhi-Shan, Chen Mu-Sheng, Lin Shun-Da. Radiation power of electric diople in magnetic anisotropic medium. Acta Physica Sinica, 2012, 61(16): 160302. doi: 10.7498/aps.61.160302
[4]	Pan Wei-Zhen, Yang Xue-Jun, Luo Jin-Cai. Hawking radiation of dynamical Kinnersley black hole under the new tortoise coordinate transformation. Acta Physica Sinica, 2011, 60(10): 109701. doi: 10.7498/aps.60.109701
[5]	Hong Qing-Quan, Yu Yan-Zhong, Cai Zhi-Shan, Chen Mu-Sheng, Lin Shun-Da. Radiation powers of magnetic dipole and electric quadrupole in magnetic anisotropic medium. Acta Physica Sinica, 2010, 59(8): 5235-5240. doi: 10.7498/aps.59.5235
[6]	Meng Qing-Miao, Li Zhong-Rang, Li Yu-Shan. Generalized Stenfan-Boltzmann law of the Dirac field of Barriola-Vilenkin black hole. Acta Physica Sinica, 2010, 59(10): 6847-6850. doi: 10.7498/aps.59.6847
[7]	Meng Qing-Miao, Jiang Ji-Jian, Li Chuan-An. Instantaneous radiation energy flux of the scalar field in arbitrarily accelerating black hole with electric charge and magnetic charge. Acta Physica Sinica, 2010, 59(2): 778-782. doi: 10.7498/aps.59.778
[8]	Meng Qing-Miao, Jiang Ji-Jian, Wang Shuai. Thermal particles model and radiation power of static spherically symmetric black holes. Acta Physica Sinica, 2009, 58(11): 7486-7490. doi: 10.7498/aps.58.7486
[9]	Meng Qing-Miao, Jiang Ji-Jian, Liu Jing-Lun, Deng De-Li. The generalized Stefan-Boltzmann’s law of Dilaton-Maxwell non-stationary black hole. Acta Physica Sinica, 2009, 58(1): 78-82. doi: 10.7498/aps.58.78
[10]	Meng Qing-Miao, Su Jiu-Qing, Jiang Ji-Jian. Instantaneous radiant emittance of the accelerating non-stationary black hole. Acta Physica Sinica, 2007, 56(9): 5077-5082. doi: 10.7498/aps.56.5077
[11]	Zheng Yuan-Qiang. Entropy of Dirac field in a generalized non-stationary spherically symmetric black hole with charge. Acta Physica Sinica, 2006, 55(7): 3272-3276. doi: 10.7498/aps.55.3272
[12]	Liu Cheng-Zhou. Quantum entropy of the general non-stationary black hole with charges. Acta Physica Sinica, 2005, 54(5): 1977-1981. doi: 10.7498/aps.54.1977
[13]	Meng Qing-Miao. The instantaneous radiant exitance of non-static black holes. Acta Physica Sinica, 2005, 54(1): 471-474. doi: 10.7498/aps.54.471
[14]	Xu Rong- Kun, Li Zheng -Hong, Guo Cun, Yang Jian -Lun, Li Lin-Bo, Song Feng -Jun, Ning Jia-Min, Xia Guang -Xin, Xu Ze-Ping. Onedimensional imaging system for the diagnosis of the Zpinch xray radiation. Acta Physica Sinica, 2003, 52(5): 1203-1206. doi: 10.7498/aps.52.1203
[15]	Zhu Bin, Yao Guo-Zheng, Zhao Zheng. . Acta Physica Sinica, 2002, 51(11): 2656-2660. doi: 10.7498/aps.51.2656
[16]	LI ZHONG-HENG, MI LI-QIN. QUANTUM ERGOSPHERE EFFECT OF SPHERICALLY SYMMETRIC NON-STATIC BLACK HOLE. Acta Physica Sinica, 1999, 48(4): 575-580. doi: 10.7498/aps.48.575
[17]	Yang Shu-Zheng, Zhao Zheng. . Acta Physica Sinica, 1995, 44(3): 498-504. doi: 10.7498/aps.44.498
[18]	GAN DE-CHANG. . Acta Physica Sinica, 1995, 44(1): 137-141. doi: 10.7498/aps.44.137
[19]	YANG BO, ZHAO ZHENG. HAWKING RADIATION OF CHARGED DIRAC PARTICLES IN GENERAL SPHERICALLY SYMMETRIC AND NON-STATIC SPACE-TIME. Acta Physica Sinica, 1994, 43(5): 858-864. doi: 10.7498/aps.43.858
[20]	XU FENG, LIU LIAO. PARTICLE DETECTOR MODEL FOR INSTANT RESPONSE. Acta Physica Sinica, 1988, 37(8): 1267-1274. doi: 10.7498/aps.37.1267

Catalog

Vol. 59, Issue 3 - 2010-02-05

Metrics

Abstract views: 8748
PDF Downloads: 732
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板