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
Open accessAbstract
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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Quasinormal modes of black holes and black branes
Berti, E., Cardoso, V., & Starinets, A. O. (2009) · Classical and Quantum Gravity · doi:10.1088/0264-9381/26/16/163001 · Cited by 2,095
Self-citationTesting the nature of dark compact objects: a status report
Cardoso, V., & Pani, P. (2019) · Living Reviews in Relativity · doi:10.1007/s41114-019-0020-4 · Cited by 956
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Brito, R., Cardoso, V., & Pani, P. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/13/134001 · Cited by 276
Self-citationBlack hole binaries and light fields: Gravitational molecules
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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
- OpenAlex
- W2150567191
- Cited by
- 334
- References
- 70
- FWCI
- 8.06
- Type
- journal article
- Language
- en
- Open access
- green
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