Instability of Massive Scalar Fields in Kerr-Newman Spacetime

Details Instability of Massive Scalar Fields in Kerr-Newman Spacetime Instability of Massive Scalar Fields in Kerr-Newman Spacetime

2004-02-06

arxiv.org/abs/gr-qc/0402037v2

Prog.Theor.Phys. 112 (2004) 983-995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 10 figures. Accepted for publication in Prog.Theor.Phys

Scientific paper

10.1143/PTP.112.983

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 is unstable, and its amplitude grows in time. By solving the Klein-Gordon equation of the scalar field as an eigenvalue problem, we numerically obtain the growth rate of the amplitude of the scalar field. Although the dependence of the scalar field mass and the scalar field charge on this growth rate agrees with the result of the analytic approximation, the maximum value of the growth 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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