Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime

doi:10.1088/0256-307X/26/12/120401

Chin. Phys. Lett.

2009, Vol. 26

Issue (12): 120401 DOI: 10.1088/0256-307X/26/12/120401

GENERAL

Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime

YANG Jian¹, ZHAO Zheng², TIAN Gui-Hua¹, LIU Wen-Biao²

¹School of Sciences, Beijing University of Posts and Telecommunications, Beijing 100876²Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875

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YANG Jian, ZHAO Zheng, TIAN Gui-Hua et al 2009 Chin. Phys. Lett. 26 120401

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Abstract Hawking effect from dynamical spherical Vaidya black hole, Vaidya-Bonner black hole, and Vaidya-de Sitter black hole is investigated using the improved Damour-Ruffini method. After the new tortoise coordinate transformation in which the position r of event horizon is an undetermined function and the temperature parameter κ is an undetermined constant, the Klein-Gordon equation can be written as the standard form at the event horizon, and both r and κ can be determined automatically. Then extending the outgoing wave from outside to inside of the horizon analytically, the Hawking temperature can also be obtained automatically.

Keywords: 04.70.Dy 04.70.Bw 97.60.Lf

Received: 27 July 2009 Published: 27 November 2009

PACS:	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)
	04.70.Bw	(Classical black holes)
	97.60.Lf	(Black holes)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/12/120401 OR https://cpl.iphy.ac.cn/Y2009/V26/I12/120401

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	YANG Jian
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[1] Hawking S W 1975 Commun. Math. Phys. 43 199
[2] Hawking S W 1974 Nature 248 458
[3] Bekenstein J D 1973 Phys. Rev. D 7 2333
[4] Bardeen J M, Carter B and Hawking S W 1973 Commun.Math. Phys. 31 161
[5] Damour T and Ruffini R 1976 Phys. Rev. D 14332
[6] Sannan S 1988 Gen. Rel. Grav. 20 239
[7] Liu L and Xu D Y 1980 Acta Phys. Sin. 29 1617(in Chinese)
[8] Zhao Z, Gui Y X and Liu L 1981 J. Astrophys. 1141
[9] Zhao Z and Dai X X 1991 Chin. Phys. Lett. 8548
[10] Zhao Z, Luo Z Q and Dai X X 1994 Il Nuovo Cimento B 109 483
[11] Chen D Y and Yang S Z 2007 New J. Phys. 9 252
[12] Li X and Zhao Z 2000 Phys. Rev. D 62 104001
[13] Ren J and Zhao Z 2006 Chin. Phys. Lett. 150292
[14] Ren J, Zhang J Y and Zhao Z 2006 Chin. Phys. Lett. 23 2019
[15] Zhang Y P and Liu W B 2007 Astrophys. Space Sci. 312 315
[16] Liu B and Liu W B 2009 Front. Phys. Chin. 494
[17] Fodor G, Nakamura K, Oshiro Y and Tomimatsu A 1996 Phys. Rev. D 54 3882
[18] Zhao Z 1999 The Thermal Nature of Black Holes andThe Singularity of the Spacetime (Beijing: Beijing NormalUniversity Press)
[19] Dai X X and Zhao Z 1992 Acta Phys. Sin. 41869 (in Chinese)
[20] Dai X X, Zhao Z and Liu L 1993 Sci. Chin. A 23 69

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