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Instability of Massive Scalar Fields in Kerr-Newman Spacetime

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arxiv gr-qc/0402037 v2 pith:VCXRCHUA submitted 2004-02-06 gr-qc

Instability of Massive Scalar Fields in Kerr-Newman Spacetime

Hironobu Furuhashi , Yasusada Nambu This is my paper
classification gr-qc
keywords scalarfieldgrowthinstabilityrateamplitudeanalyticapproximation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Novel Kerr-Hernquist Black Hole: Quasibound State, Scalar Cloud, Bomb, Superradiant Scattering

    gr-qc 2026-07 conditional novelty 6.0

    A Kerr–Hernquist black hole preserves a hydrogen-like scalar quasibound spectrum corrected by ρ₀r₀³, which lowers the scalar-cloud mass threshold and suppresses co-rotating superradiant growth while narrowing the ampl...

  2. No Evidence for Superradiant Axions in LIGO-Virgo-KAGRA GWTC-5 Binary Black Hole Spins

    hep-ph 2026-07 unverdicted novelty 5.0

    Hierarchical Bayesian analysis of GWTC-5 binary black hole spins finds no evidence for superradiant axions and excludes masses 1.7e-14 to 3.3e-12 eV at 95% CL.

  3. Quasibound states of a charged Dirac field around regular black holes

    gr-qc 2026-06 unverdicted novelty 5.0

    ABG regular black holes modify the lifetimes of charged Dirac quasibound states relative to RN but keep the modes damped without producing superradiant instability in the explored parameter range.

  4. Quasibound states of a charged Dirac field around regular black holes

    gr-qc 2026-06 conditional novelty 4.5

    Charged massive Dirac quasibound modes on ABG black holes stay damped; ABG and RN share hydrogenic real frequencies, but ABG’s inner barrier can make some modes much longer-lived.

  5. Tuning A Rotating Black Hole Spectrum with Dark Matter Halo: Quasibound States, Scalar Cloud, Black Hole Bomb and Superradiant Scattering

    gr-qc 2026-06 unverdicted novelty 4.0

    A rotating black hole in a Dehnen (1,4,γ) halo has its quasibound frequencies shifted by an effective mass scale set by halo parameters, which also lowers the instability threshold and narrows the superradiant window.

  6. On-axis scattering of scalar fields by charged rotating black holes

    gr-qc 2019-07 unverdicted novelty 4.0

    Numerical on-axis scalar scattering cross sections by Kerr-Newman black holes match classical and semiclassical results.