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Next-to-leading order corrections to scalar perturbations of Kerr-anti-de Sitter black holes

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arxiv 2411.09980 v2 pith:62BWFG2X submitted 2024-11-15 gr-qc

Xiang-hao Chu , Yi-qing Chu , Shou-shan Bao , Hong Zhang This is my paper · ORCID
classification gr-qc
keywords blackholepartkerr-anti-deleading-orderrealscalarsitter
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The small Kerr-anti-de Sitter black hole demonstrates instability due to the superradiance of either a massive or massless scalar field. Previous leading-order approximations of the spectrum are inefficient. In particular, the leading-order real part of the eigenfrequency is insensitive to the spin of the black hole. In this work, we improve the analysis by including the next-to-leading-order contribution. Compared to the numerical calculation, the new spin-dependent real part presents significantly better agreement, and the error in the imaginary part is also reduced to less than 60% for most black hole spins.

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Cited by 2 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. 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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