Raising and lowering operators of spin-weighted spheroidal harmonics

7Citations
Citations of this article
12Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

Differential operators for raising and lowering angular momentum for spherical harmonics are used widely in many branches of physics. Less well known are raising and lowering operators for both spin and the azimuthal component of angular momentum (Goldberg et al. in J Math Phys 8:2155, 1967). In this paper we generalize the spin-raising and lowering operators of spin-weighted spherical harmonics to operators linear-in-γ for spin-weighted spheroidal harmonics, where γ is an additional parameter present in the second order ordinary differential equation governing these harmonics. Constructing these operators has required using all the ℓ-, s- and m-raising and lowering operators (and various combinations of them) for spin-weighted spherical harmonics, which have been calculated and shown explicitly in this paper. Following a well-defined procedure, the operators given could be generalized to higher powers in γ.

References Powered by Scopus

Rotating black holes: Separable wave equations for gravitational and electromagnetic perturbations

801Citations
N/AReaders
Get full text

Spin-s spherical harmonics and O

755Citations
N/AReaders
Get full text

Solutions to a generalized spheroidal wave equation: Teukolsky's equations in general relativity, and the two-center problem in molecular quantum mechanics

261Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Model of gravitational waves from precessing black-hole binaries through merger and ringdown

40Citations
N/AReaders
Get full text

Perturbations of spinning black holes in dynamical Chern-Simons gravity: Slow rotation equations

13Citations
N/AReaders
Get full text

Gravitational self-force regularization in the Regge-Wheeler and easy gauges

12Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Shah, A. G., & Whiting, B. F. (2016). Raising and lowering operators of spin-weighted spheroidal harmonics. General Relativity and Gravitation, 48(6). https://doi.org/10.1007/s10714-016-2064-z

Readers' Seniority

Tooltip

PhD / Post grad / Masters / Doc 6

50%

Researcher 4

33%

Professor / Associate Prof. 2

17%

Readers' Discipline

Tooltip

Physics and Astronomy 9

82%

Mathematics 2

18%

Save time finding and organizing research with Mendeley

Sign up for free