High-order asymptotics for the spin-weighted spheroidal equation at large real frequency
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 high-precision numerical calculation.
- Publication:
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Proceedings of the Royal Society of London Series A
- Pub Date:
- February 2019
- DOI:
- 10.1098/rspa.2018.0701
- arXiv:
- arXiv:1810.00432
- Bibcode:
- 2019RSPSA.47580701C
- Keywords:
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- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 11 pages, 2 figures