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

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

2006-05-01

arxiv.org/abs/gr-qc/0605013v1

Phys.Rev. D73 (2006) 124040

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 figures, RevTex

Scientific paper

10.1103/PhysRevD.73.124040

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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