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Asymptotic quasinormal mode spectrum of rotating black holes

Shahar Hod
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Abstract

Motivated by novel results in the theory of black-hole quantization, we study {\it analytically} the quasinormal modes (QNM) of ({\it rotating}) Kerr black holes. The black-hole oscillation frequencies tend to the asymptotic value $ω_n=mΩ+i2πT_{BH}n$ in the $n \to \infty$ limit. This simple formula is in agreement with Bohr's correspondence principle. Possible implications of this result to the area spectrum of quantum black holes are discussed.

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Shahar Hod. 2003-07-14. Asymptotic quasinormal mode spectrum of rotating black holes. https://arxiv.org/abs/gr-qc/0307060

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