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Stability and quasinormal modes of the massive scalar field around Kerr black holes

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arxiv gr-qc/0605013 v1 pith:646SP4TJ submitted 2006-05-01 gr-qc

R. A. Konoplya , A. Zhidenko This is my paper
classification gr-qc
keywords fieldscalarmassiveblackholesmodesquasinormalstability
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abstract

We find quasinormal spectrum of the massive scalar field in the background of the Kerr black holes. We show that all found modes are damped under the quasinormal modes boundary conditions when $\mu M$ is not large, thereby implying stability of the massive scalar field. This complements the region of stability determined by the Beyer inequality for large masses of the field. We show that, similar to the case of a non-rotating black holes, the massive term of the scalar field does not contribute in the regime of high damping. Thereby, the high damping asymptotic should be the same as for the massless scalar field.

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Cited by 6 Pith papers

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