Instability of Massive Scalar Fields in Kerr-Newman Spacetime

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  • 6 February 2004
Abstract
We investigate the instability of charged massive scalar fields in Kerr-Newman spacetime. Due to the super-radiant effect of the background geometry, the bound state of the scalar field suffers from instability and its amplitude grows in time. By solving the Klein-Gordon equation of the scalar field as an eigen-value problem, we numerically obtain the growing rate of the instability of the scalar field. Although the dependence of the scalar field mass and the scalar field charge on the growing rate fairly agrees with the result of the analytic approximation, the maximum value of the growing rate is three times larger than that of the analytic approximation. We also discuss the effect of the electric charge on the instability of the scalar field.

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