Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation

doi:10.1088/1674-1056/20/4/049701

中国物理B ›› 2011, Vol. 20 ›› Issue (4): 49701-049701.doi: 10.1088/1674-1056/20/4/049701

• GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇

Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation

潘伟珍, 杨学军, 谢志堃

Department of Physics and Electronic Information, Shaoxing University, Shaoxing 312000, China

收稿日期:2010-10-19 修回日期:2010-11-26 出版日期:2011-04-15 发布日期:2011-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10873003 and 11045005) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6090739).

Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation

Pan Wei-Zhen(潘伟珍)^†,Yang Xue-Jun(杨学军),and Xie Zhi-Kun(谢志堃)

Department of Physics and Electronic Information, Shaoxing University, Shaoxing 312000, China

Received:2010-10-19 Revised:2010-11-26 Online:2011-04-15 Published:2011-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10873003 and 11045005) and the Natural Science Foundation of Zhejiang Province, China (Grant No. Y6090739).

摘要/Abstract

摘要： Using a new tortoise coordinate transformation, this paper investigates the Hawking effect from an arbitrarily accelerating charged black hole by the improved Damour-Ruffini method. After the tortoise coordinate transformation, the Klein-Gordon equation can be written as the standard form at the event horizon. Then extending the outgoing wave from outside to inside of the horizon analytically, the surface gravity and Hawking temperature can be obtained automatically. It is found that the Hawking temperatures of different points on the surface are different. The quantum nonthermal radiation characteristics of a black hole near the event horizon is also discussed by studying the Hamilton-Jacobi equation in curved spacetime and the maximum overlap of the positive and negative energy levels near the event horizon is given. There is a dimensional problem in the standard tortoise coordinate and the present results may be more reasonable.

Abstract: Using a new tortoise coordinate transformation, this paper investigates the Hawking effect from an arbitrarily accelerating charged black hole by the improved Damour–Ruffini method. After the tortoise coordinate transformation, the Klein-Gordon equation can be written as the standard form at the event horizon. Then extending the outgoing wave from outside to inside of the horizon analytically, the surface gravity and Hawking temperature can be obtained automatically. It is found that the Hawking temperatures of different points on the surface are different. The quantum nonthermal radiation characteristics of a black hole near the event horizon is also discussed by studying the Hamilton–Jacobi equation in curved spacetime and the maximum overlap of the positive and negative energy levels near the event horizon is given. There is a dimensional problem in the standard tortoise coordinate and the present results may be more reasonable.

Key words: tortoise coordinate transformation, black hole, Hawking effect, quantum nonthermal radiation

中图分类号: (Black holes)

97.60.Lf

04.70.-s (Physics of black holes) 04.70.Dy (Quantum aspects of black holes, evaporation, thermodynamics)

潘伟珍, 杨学军, 谢志堃. Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation[J]. 中国物理B, 2011, 20(4): 49701-049701.

Pan Wei-Zhen(潘伟珍),Yang Xue-Jun(杨学军),and Xie Zhi-Kun(谢志堃) . Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation[J]. Chin. Phys. B, 2011, 20(4): 49701-049701.

参考文献 25

[1]	Hawking S W 1974 Nature 248 30
[2]	Hawking S W 1975 Commun. Math. Phys. 43 199
[3]	Damour T and Ruffini R 1976 Phys. Rev. D 14 332
[4]	Liu L and Xu D Y 1980 Acta Phys. Sin. 29 1617 (in Chinese)
[5]	Zhao Z, Gui Y X and Liu L 1981 Acta Astrophys. Sin. 29 141 (in Chinese)
[6]	Xu C M and Shen Y G 1982 Acta Phys. Sin. 31 1035 (in Chinese)
[7]	Xu D Y 1983 Acta Phys. Sin. 32 225 (in Chinese)
[8]	Wu S Q and Cai X 2000 IL Nuovo Cimento B 115 143
[9]	Hiscock W A 1981 Phys. Rev. D 23 2823
[10]	Balbinot R 1986 Phys. Rev. D 33 1611
[11]	Zhao Z 1999 Thermal Properties of Black Holes and Singularities of Space-times (Beijing: Beijing Normal University Press) (in Chinese)
[12]	Zhao R, Zhang L C and Li H F 2010 Acta Phys. Sin. 59 2982 (in Chinese)
[13]	Qiang L E, Gao X Q and Zhao Z 2004 Acta Phys. Sin. 53 3619 (in Chinese)
[14]	Niu Z F and Liu W B 2005 Acta Phys. Sin. 54 475 (in Chinese)
[15]	Ren J 2008 J. Beijing Normal University (Natural Science) 44(1) 51 (in Chinese)
[16]	Liu W B 2007 Acta Phys. Sin. 56 6164 (in Chinese)
[17]	Zhao Z and Dai X X 1991 Chin. Phys. Lett. 8 548
[18]	Li Z H and Zhao Z 1993 Chin. Phys. Lett. 10 126
[19]	Starobinsky A A1973 JETP 37 28
[20]	Unruh W G 1974 Phys. Rev. D 10 3194
[21]	Yang S Z and Lin L B 2002 Chin. Phys. 11 619
[22]	Lu J L 2002 Acta Phys. Sin. 51 973 (in Chinese)
[23]	Yang S Z 2004 Acta Phys. Sin. 53 4007 (in Chinese)
[24]	Meng Q M, Wang S, Jiang J J and Deng D L 2008 Chin. Phys. B 17 2811
[25]	Zhao Z, Yang J and Liu W B 2010 J. Beijing Normal University (Natural Science) 46(1) 32 (in Chinese)

Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation

Hawking effect and quantum nonthermal radiation of an arbitrarily accelerating charged black hole using a new tortoise coordinate transformation

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