Instability of Massive Scalar Fields in Kerr-Newman Spacetime

By Hironobu Furuhashi, Y. Nambu. 2004

153 citations recorded by the source corpus.

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.

View Paper: https://www.semanticscholar.org/paper/8317b2dbeb4a0cae9de807dba6315704e8ecb33b

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Citations in the corpus

• Numerical methods for finding stationary gravitational solutions (2015, unknown): “For waves with a harmonic dependence e−iωt+imψ, superradiance occurs for horizon angular velocities with ω < mΩH in Kerr [31, 32, 415–417], or ω < mωH + qΦH in Kerr-Newman (and in spherical ReissnerNordström) with charge chemical potential ΦH and for a scalar field with charge q [419].”
• Superradiance (2015, background): “[453], which found that the instability growth rate also depends on the coupling qQ, where q and Q are the charges of the field and of the BH, respectively.”
• Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “[349], which found that the instability growth rate also depends on the coupling qQ, where q and Q are the charges of the field and of the BH, respectively.”
• Instability of the massive Klein-Gordon field on the Kerr spacetime (2007, methodology): “However, reflection will also occur naturally if the perturbing field has a rest mass [12, 15, 17, 20, 51].”