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 |
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Authors/Creators: |
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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: |
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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 |