Monteverdi, A. orcid.org/0000-0002-6855-3504 and Winstanley, E. orcid.org/0000-0001-8964-8142 (2024) Some addition theorems for spin-weighted spherical harmonics. Universe, 10 (12). 461. ISSN 2218-1997
Abstract
We present some addition theorems for spin-weighted spherical harmonics, generalizing previous results for scalar (spin-zero) spherical harmonics. These addition theorems involve sums over the azimuthal quantum number of products of two spin-weighted spherical harmonics at different points on the two-sphere, either (or both) of which are differentiated with respect to one of their arguments.
Metadata
| Item Type: | Article |
|---|---|
| Authors/Creators: |
|
| Copyright, Publisher and Additional Information: | © 2024 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
| Keywords: | spin-weighted spherical harmonics; addition theorems; perturbations of black holes |
| Dates: |
|
| Institution: | The University of Sheffield |
| Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
| Funding Information: | Funder Grant number SCIENCE AND TECHNOLOGY FACILITIES COUNCIL ST/X000621/1 |
| Depositing User: | Symplectic Sheffield |
| Date Deposited: | 09 Jan 2025 10:07 |
| Last Modified: | 09 Jan 2025 10:07 |
| Status: | Published |
| Publisher: | MDPI AG |
| Refereed: | Yes |
| Identification Number: | 10.3390/universe10120461 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:221556 |

CORE (COnnecting REpositories)
CORE (COnnecting REpositories)