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

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.

Keywords: tortoise coordinate transformation black hole Hawking effect quantum nonthermal radiation

Received: 19 October 2010
Revised: 26 November 2010
Accepted manuscript online:

PACS:	97.60.Lf	(Black holes)
	04.70.-s	(Physics of black holes)
	04.70.Dy	(Quantum aspects of black holes, evaporation, thermodynamics)

Fund: 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).

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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 2011 Chin. Phys. B 20 049701

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

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