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arXiv · 1810.00432

High-order asymptotics for the Spin-Weighted Spheroidal Equation at large real frequency

Marc Casals·Adrian C. Ottewill·Niels Warburton
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Abstract

The spin-weighted spheroidal eigenvalues and eigenfunctions arise in the separation by variables of spin-field perturbations of Kerr black holes. We derive a large, real-frequency asymptotic expansion of the spin-weighted spheroidal eigenvalues and eigenfunctions to high order. This expansion corrects and extends existing results in the literature and we validate it via a numerical calculation.

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Marc Casals, Adrian C. Ottewill, Niels Warburton. 2019-02-06. High-order asymptotics for the Spin-Weighted Spheroidal Equation at large real frequency. https://doi.org/10.1098/rspa.2018.0701

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