How should spin-weighted spherical functions be defined?

DOI10.1063/1.4962723zbMath1350.83008arXiv1604.08140OpenAlexW2398026059MaRDI QIDQ2825553

Michael Boyle

Publication date: 13 October 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08140

zbMATH Keywords

tensor-valued functionsrotation groupsquaternionangular-momentum operatorspin-raising operatorspin-weighted spherical functions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Spherical harmonics (33C55) Harmonic analysis and spherical functions (43A90) Gravitational waves (83C35) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Compactifications; symmetric and spherical varieties (14M27)

Related Items (4)

Erratum: “How should spin-weighted spherical functions be defined?” [J. Math. Phys. 57, 092504 (2016)] ⋮ Gravitational partial-wave absorption from scattering amplitudes ⋮ Dirac and Klein–Gordon–Fock equations in Grumiller’s spacetime ⋮ Coadjoint representation of the BMS group on celestial Riemann surfaces

Uses Software

• spinsfast

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• The Hopf fibration --- seven times in physics
• The construction of spinors in geometric algebra
• Spin structures on manifolds
• Irreducible unitary representations of the Lorentz group
• Tensorial spin-s harmonics
• The relationship between monopole harmonics and spin-weighted spherical harmonics
• A Proof of the Hairy Ball Theorem
• Edth-a differential operator on the sphere
• Spin-s Spherical Harmonics and ð

This page was built for publication: How should spin-weighted spherical functions be defined?