Superradiant instability for black holes immersed in a magnetic field

Details Superradiant instability for black holes immersed in a magnetic field Superradiant instability for black holes immersed in a magnetic field

2008-01-07

arxiv.org/abs/0801.0846v4

Phys.Lett.B666:283-287,2008; Phys.Lett.B670:459,2009

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex, 5 figures, corrected version

Scientific paper

10.1016/j.physletb.2008.07.079 1

We consider the bound states of the massive scalar field around a rotating black hole immersed in the asymptotically uniform magnetic field. In the regime of slow black hole rotation, the Klein-Gordon equation allows separation of variables. We show that the growth rate of the instability can be amplified a few times by the magnetic field. The effect occurs because the magnetic field adds the "effective mass" term $B |m|$ to the scalar field potential for a Kerr black hole. In addition, and as a by-product, we discuss the behavior of the quasinormal modes for the magnetized rotating black holes.

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