Chin. Phys. Lett.  2005, Vol. 22 Issue (9): 2455-2458    DOI:
Original Articles |
Connection of Screw Instability with Electric Current in an Accretion Disc around a Black Hole
AN Xiao-Xia;WANG Ding-Xiong;GAN Zhao-Ming
Department of Physics, Huazhong University of Science and Technology, Wuhan 430074
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AN Xiao-Xia, WANG Ding-Xiong, GAN Zhao-Ming 2005 Chin. Phys. Lett. 22 2455-2458
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Abstract The screw instability of the magnetic field is discussed based on its poloidal configuration generated by a single toroidal electric current flowing in the equatorial plane of a Kerr black hole (BH). The rotation of the BH relative to the disc induces an electromotive force, which in turn results in a poloidal electric current. By using Ampere's law, we calculate the toroidal component of the magnetic field and derive a criterion for the screw instability of the magnetic field connecting the rotating BH with its surrounding disc. It is determined that the screw instability is related to two parameters: the radius of the disc and the BH spin. The occurrence of screw instability is depicted in a parameter space. In addition, we discuss the effect of the screw instability on magnetic extraction of energy from the rotating BH.

Keywords: 97.60.Lf      98.62.Mw      98.62.Js     
Published: 01 September 2005
PACS:  97.60.Lf (Black holes)  
  98.62.Mw (Infall, accretion, and accretion disks)  
  98.62.Js (Galactic nuclei (including black holes), circumnuclear matter, and bulges)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2005/V22/I9/02455
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AN Xiao-Xia
WANG Ding-Xiong
GAN Zhao-Ming
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