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Asymptotic iteration method for spheroidal harmonics of higher-dimensional Kerr-(A)dS black holes

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arxiv 0904.1867 v4 pith:JBINTWJF submitted 2009-04-12 gr-qc cs.NAhep-thmath.NA

H.T. Cho (Tamkang U.) , A.S. Cornell (U. Witwatersrand) , Jason Doukas (Melbourne U.) , Wade Naylor (Ritsumeikan U.) This is my paper · ORCID
classification gr-qccs.NAhep-thmath.NA
keywords methodalphaangularasymptoticharmonicsiterationkerr-lambda
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abstract

In this work we calculate the angular eigenvalues of the $(n+4)$-dimensional {\it simply} rotating Kerr-(A)dS spheroidal harmonics using the Asymptotic Iteration Method (AIM). We make some comparisons between this method and that of the Continued Fraction Method (CFM) and use the latter to check our results. We also present analytic expressions for the small rotation limit up to $O(c^3)$ with the coefficient of each power up to $O(\alpha^2)$, where $c=a\omega$ and $\alpha=a^2 \Lambda$ ($a$ is the angular velocity, $\omega$ the frequency and $\Lambda$ the cosmological constant).

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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 of Scalar field inside the Dyonic Kerr-Sen Black Hole

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    Exact quasi-bound scalar field states in dyonic Kerr-Sen black holes are expressed as confluent Heun functions with quantized frequencies showing exponential growth for positive real parts inside the horizons, support...

  2. Exceptional Lines and Excitation of (Nearly) Double-Pole Quasinormal Modes: A Semi-Analytic Study in the Nariai Black Hole

    gr-qc 2026-01 conditional novelty 6.0 of 10

    In the near-Nariai limit of rotating de Sitter black holes, massive scalar perturbations have a continuous curve of exceptional points where prograde and retrograde quasinormal modes merge, and the resulting double-po...

  3. Scalar Instabilities Inside The Extremal Dyonic Kerr-Sen Black Hole: Novel Exact Solutions and Chronology Protection Conjecture

    gr-qc 2025-02 reject novelty 5.0 of 10

    Inside the extremal dyonic Kerr-Sen black hole, scalar field modes have purely imaginary frequencies, so they do not propagate; the growing modes can destroy the region containing closed timelike curves, supporting th...

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