Black holes and gravitational waves. III - The resonant frequencies of rotating holes

Details Black holes and gravitational waves. III - The resonant frequencies of rotating holes Black holes and gravitational waves. III - The resonant frequencies of rotating holes

Jul 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...239..292d&link_type=abstract

Astrophysical Journal, Part 1, vol. 239, July 1, 1980, p. 292-295.

Mathematics

Complex Variables

76

Black Holes (Astronomy), Free Vibration, Gravitational Waves, Resonant Frequencies, Angular Velocity, Complex Variables, Harmonic Analysis, Relativity, Spherical Harmonics

Scientific paper

The free oscillations of rotating black holes are studied. Values of the
complex resonant frequencies are given as functions of the Kerr
parameter a for a variety of spherical harmonic indices l and m. The
Appendix uses analytic methods to show that the maximally rotating Kerr
solution is, in some sense, marginally unstable.

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