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arXiv · 1311.3007

Purely imaginary polar resonances of rapidly-rotating Kerr black holes

Shahar Hod
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Abstract

We prove the existence of a unique family of non-oscillatory (purely-imaginary) polar quasinormal resonances of rapidly-rotating Kerr black holes. These purely imaginary resonances can be expressed in the compact form: w_n=-i2*pi*T_{BH}*(l+1+n), where T_{BH} is the black-hole temperature, l is the spheroidal harmonic index of the mode, and n=0,1,2,... is the resonance parameter. It is shown that our analytical results for the black-hole resonance spectrum agree with new numerical data that recently appeared in the literature.

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Shahar Hod. 2013-11-13. Purely imaginary polar resonances of rapidly-rotating Kerr black holes. https://arxiv.org/abs/1311.3007

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