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

DOI10.1098/rspa.2018.0701zbMath1472.83048arXiv1810.00432OpenAlexW2894132767WikidataQ92254930 ScholiaQ92254930MaRDI QIDQ5160631

Niels Warburton, Adrian C. Ottewill, Marc Casals

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.00432

zbMATH Keywords

black holesspin-weighted spheroidal harmonicsangular eigenvalues

Mathematics Subject Classification ID

Black holes (83C57) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

Related Items (4)

On the Asymptotics of Eigenvalues of the Spin-Weighted Spheroidal Equation ⋮ Exact solutions to the angular Teukolsky equation with s ≠ 0 ⋮ High-order asymptotics for the spin-weighted spheroidal equation at large real frequency ⋮ The Teukolsky–Starobinsky constants: facts and fictions

Uses Software

• SpinWeightedSpheroidalHarmonics
• Black Hole Perturbation Toolkit

Cites Work

• Eigenvalue spectrum of the spheroidal harmonics: a uniform asymptotic analysis
• Divergence of a quantum thermal state on Kerr space-time
• Stress-energy tensor of quantized scalar fields in static spherically symmetric spacetimes
• Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two-center problem in molecular quantum mechanics
• Spin-weighted angular spheroidal functions
• Theory and computation of spheroidal wavefunctions
• High-order asymptotics for the spin-weighted spheroidal equation at large real frequency
• Spin-s Spherical Harmonics and ð
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