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Next-to-leading-order solution to Kerr-Newman black hole superradiance

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arxiv 2301.05317 v3 pith:54MQLDPU submitted 2023-01-12 gr-qc hep-ph

Shou-Shan Bao , Qi-Xuan Xu , Hong Zhang This is my paper · ORCID
classification gr-qchep-ph
keywords alphablackkerr-newmanholeholesmassivenext-to-leadingorder
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The superradiant instabilities of Kerr-Newman black holes with charged or uncharged massive spin-0 fields are calculated analytically to the next-to-leading order in the limit of $\alpha\sim r_g \mu \ll 1$. A missing factor of $1/2$ in the previous leading-order result is identified. The next-to-leading order result has a compact form and is in good agreement with existing numerical calculations. The percentage error increases with $\alpha$, from a few percent for $\alpha\sim 0.1$ to about $50\%$ for $\alpha\sim 0.4$. Massive neutral scalars too heavy to be produced with Kerr black hole superradiance may exist in the superradiant region of Kerr-Newman black holes.

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Cited by 3 Pith papers

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

  1. Quasi-bound states and late-time evolution of a massive fermion around a Reissner-Nordstr\"{o}m black hole

    gr-qc 2026-07 accept novelty 6.0 of 10

    Matrix matching yields improved quasi-bound spectra (fine structure + decay widths) for a massive Dirac field on RN, and branch-cut analysis plus simulations reveal an intermediate oscillatory power law followed by a ...

  2. Exact Regions of Superradiant Instability of Kerr-Newman Black Holes and Massive Scalar Fields

    gr-qc 2025-10 conditional novelty 6.0 of 10

    Superradiant instability of Kerr-Newman black holes is confined to μ > qQ/M and below an analytically determined boundary that disagrees with older numerics.

  3. Revisiting the fermionic quasi-bound states around Schwarzschild black holes with improved analytic spectrum

    gr-qc 2025-01 conditional novelty 5.0 of 10

    Fermionic quasibound-state energies around Schwarzschild black holes are derived analytically with a first-order matching scheme and a higher-order angular correction that improves agreement with numerics.

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