High-order asymptotics for the Spin-Weighted Spheroidal Equation at large real frequency
General Relativity and Quantum Cosmology
2019-02-08 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1810.00432,
title = {High-order asymptotics for the Spin-Weighted Spheroidal Equation at large real frequency},
author = {Marc Casals and Adrian C. Ottewill and Niels Warburton},
journal= {arXiv preprint arXiv:1810.00432},
year = {2019}
}
Comments
11 pages, 2 figures