Some properties of spin-weighted spheroidal harmonics

Details Some properties of spin-weighted spheroidal harmonics Some properties of spin-weighted spheroidal harmonics

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rspsa.358...71b&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 358, no. 1692, Dec. 2, 1977, p. 71-86. Research supported by the Deutsche Fo

Astronomy and Astrophysics

Astronomy

28

Black Holes (Astronomy), Eigenvalues, Eigenvectors, Laplace Equation, Spherical Harmonics, Spin Dynamics, Ellipsoids, Operators (Mathematics), Orthonormal Functions, Prolate Spheroids, Spheroids

Scientific paper

We analyze the angular eigenfunctions - spin-weighted spheroidal harmonics - and eigenvalues of Teukolsky's equation. This equation describes infinitesimal scalar, electromagnetic and gravitational perturbations of rotating (Kerr) black holes. We derive analytic expressions for the eigenvalues up to sixth order in the expansion parameter for low frequencies and an analogous expansion in the high-frequency limit. Spin-weighted spheroidal harmonics form a complete and orthonormal set of functions on a prolate spheroid. They are, however, not the eigenfunctions of the natural Laplace operator on a spheroid and thus do not allow an obvious geometrical interpretation as the corresponding spin-weighted spherical harmonics.

Affiliated with

Also associated with

No associations

Rating

Some properties of spin-weighted spheroidal harmonics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some properties of spin-weighted spheroidal harmonics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some properties of spin-weighted spheroidal harmonics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1419932