Quasinormal Spectrum and Quantization of the Kerr--Newman Black Hole
JING Ji-Liang, DING Chi-Kun
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control (Ministry of Education), Institute of Physics, Hunan Normal University, Changsha 410081
Quasinormal Spectrum and Quantization of the Kerr--Newman Black Hole
JING Ji-Liang;DING Chi-Kun
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control (Ministry of Education), Institute of Physics, Hunan Normal University, Changsha 410081
摘要The intermediate asymptotic quasinormal mode spectrum of the charged scalar and Dirac fields in the near extremal Kerr--Newman black hole is studied analytically. It is found that the quasinormal mode spectrum can be expressed in terms of the Hawking temperature Thb, the electric potential Φ+ and the horizon's angular velocity ΩH for the case of (eΦ-+mΩH)> (1-4π Thb)ReΩ (where e is the charge and m is the azimuthal projection number), whereas it is only relevant to the charge and the mass parameter for another case. It is also shown that by using the Bohr's correspondence principle, the fundamental change in the black-hole surface area induced by the emission of a rotating charged quantum from the Kerr--Newman black hole is in accord with the Bekenstein--Mukhanov general prediction.
Abstract：The intermediate asymptotic quasinormal mode spectrum of the charged scalar and Dirac fields in the near extremal Kerr--Newman black hole is studied analytically. It is found that the quasinormal mode spectrum can be expressed in terms of the Hawking temperature Thb, the electric potential Φ+ and the horizon's angular velocity ΩH for the case of (eΦ-+mΩH)> (1-4π Thb)ReΩ (where e is the charge and m is the azimuthal projection number), whereas it is only relevant to the charge and the mass parameter for another case. It is also shown that by using the Bohr's correspondence principle, the fundamental change in the black-hole surface area induced by the emission of a rotating charged quantum from the Kerr--Newman black hole is in accord with the Bekenstein--Mukhanov general prediction.
JING Ji-Liang;DING Chi-Kun. Quasinormal Spectrum and Quantization of the Kerr--Newman Black Hole[J]. 中国物理快报, 2008, 25(3): 858-861.
JING Ji-Liang, DING Chi-Kun. Quasinormal Spectrum and Quantization of the Kerr--Newman Black Hole. Chin. Phys. Lett., 2008, 25(3): 858-861.
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2008, Vol. 25 
