A comment on the eigenvalues of spin-weighted spheroidal functions

Details A comment on the eigenvalues of spin-weighted spheroidal functions A comment on the eigenvalues of spin-weighted spheroidal functions

Jul 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1057s&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, July 1, 1989, p. 1057-1062.

Statistics

Computation

41

Black Holes (Astronomy), Computational Astrophysics, Eigenvalues, Space-Time Functions, Gravitational Waves, Perturbation Theory, Relativity, Rotating Matter

Scientific paper

The paper presents a discussion of the literature on spin-weighted spheroidal functions. There are many investigations of these functions in the literature, but these papers contain errors or misprints in quantities which are crucial to the study of perturbations of rotating black holes. Using a method presented in one of the investigations, the correct formula for the eigenvalues of the differential equation satisfied by the spin-weighted spheroidal functions is presented.

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