Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly

doi:10.1088/1674-1056/18/2/015

中国物理B ›› 2009, Vol. 18 ›› Issue (2): 462-467.doi: 10.1088/1674-1056/18/2/015

Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly

杨树政¹, 曾晓雄²

(1)Institute of Theoretical Physics, China West Normal University, Nanchong 637002, China; (2)Institute of Theoretical Physics, China West Normal University, Nanchong 637002, China;Department of Physics and Engineering Technology, Sichuan University of Arts and Science, Dazhou 635000, China

收稿日期:2008-02-22 修回日期:2008-07-01 出版日期:2009-02-20 发布日期:2009-02-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 10773008).

Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly

Zeng Xiao-Xiong(曾晓雄)^a)b)† and Yang Shu-Zheng(杨树政)^a)‡

^a Institute of Theoretical Physics, China West Normal University, Nanchong 637002, China; ^b Department of Physics and Engineering Technology, Sichuan University of Arts and Science, Dazhou 635000, China

Received:2008-02-22 Revised:2008-07-01 Online:2009-02-20 Published:2009-02-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 10773008).

摘要/Abstract

摘要： This paper discusses Hawking radiation from the charged and magnetized Ba?ados--Teitelboim--Zanelli (BTZ) black hole from the viewpoint of anomaly, initiated by Robinson and Wilczek recently. It reconstructs the electromagnetic field tensor and the Lagrangian of the field corresponding to the source with electric and magnetic charges to redefine an equivalent charge and gauge potential. It employs the covariant anomaly cancellation method to determine the compensating fluxes of charge flow and energy-momentum tensor, which are shown to match with those of the 2-dimensional blackbody radiation at the Hawking temperature exactly.

关键词: Hawking radiation, covariant anomaly, event horizon, BTZ black hole

Abstract: This paper discusses Hawking radiation from the charged and magnetized Bañados--Teitelboim--Zanelli (BTZ) black hole from the viewpoint of anomaly, initiated by Robinson and Wilczek recently. It reconstructs the electromagnetic field tensor and the Lagrangian of the field corresponding to the source with electric and magnetic charges to redefine an equivalent charge and gauge potential. It employs the covariant anomaly cancellation method to determine the compensating fluxes of charge flow and energy-momentum tensor, which are shown to match with those of the 2-dimensional blackbody radiation at the Hawking temperature exactly.

Key words: Hawking radiation, covariant anomaly, event horizon, BTZ black hole

中图分类号: (Quantum aspects of black holes, evaporation, thermodynamics)

04.70.Dy

97.60.Lf (Black holes) 04.60.-m (Quantum gravity)

曾晓雄, 杨树政. Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly[J]. 中国物理B, 2009, 18(2): 462-467.

Zeng Xiao-Xiong(曾晓雄) and Yang Shu-Zheng(杨树政). Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly[J]. Chin. Phys. B, 2009, 18(2): 462-467.

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Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly

Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly

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