High-order asymptotics for the spin-weighted spheroidal equation at large real frequency-Reference-Cited by-同舟云学术

High-order asymptotics for the spin-weighted spheroidal equation at large real frequency

Published:2019-02 Issue:2222 Volume:475 Page:20180701
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Casals Marc¹²,Ottewill Adrian C.²,Warburton Niels²^ORCID

Affiliation:

1. Centro Brasileiro de Pesquisas Físicas (CBPF), Rio de Janeiro, CEP 22290-180, Brazil

2. School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland

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.

Funder

CNPq

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2018.0701

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