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Cited by 334

The DOI matches its Crossref record; 70 of the 70 references it cites were found in a registry or an index.

Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions

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Berti, Emanuele, Cardoso, Vitor, Casals, Marc·2006·Physical Review D
DOI 10.1103/physrevd.73.024013
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Abstract

Spin-weighted spheroidal harmonics are useful in a variety of physical situations, including light scattering, nuclear modeling, signal processing, electromagnetic wave propagation, black hole perturbation theory in four and higher dimensions, quantum field theory in curved space-time and studies of D-branes. We first review analytic and numerical calculations of their eigenvalues, and eigenfunctions in four dimensions, filling gaps in the existing literature when necessary. Then we compute the angular dependence of the spin-weighted spheroidal harmonics corresponding to slowly damped quasinormal mode frequencies of the Kerr black hole, providing numerical tables and approximate formulas for their scalar products. Finally we present an exhaustive analytic and numerical study of scalar spheroidal harmonics in ($n+4$) dimensions.

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Metadata

Authors
Berti, E., Cardoso, V., & Casals, M.
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
2006-01-18
Volume
73
Issue
2
ISSN
  • 0556-2821 (ISSN-L)
  • 1550-7998
  • 1550-2368
DOI
10.1103/physrevd.73.024013
OpenAlex
W2150567191
Cited by
334
References
70
FWCI
8.06
Type
journal article
Language
en
Open access
green

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