Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phrvd..13..806c&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 13, Feb. 15, 1976, p. 806-818.
Astronomy and Astrophysics
Astronomy
19
Black Holes (Astronomy), Perturbation Theory, Rotating Matter, Angular Momentum, Circular Orbits, Horizon, Mathematical Models, Multipoles, Tides, Time Dependence
Scientific paper
The influence of matter perturbations on the horizon of a rotating black hole is studied. The perturbation at the horizon is completely characterized by appropriately defined horizon multipole moments (HMMs) which are related to the number flux of quanta across the horizon. These HMMs are evaluated for several cases of interest. Specifically, it is shown that for an extreme Kerr black hole (a = M), a ring of matter on the marginally stable circular orbit has no tidal influence on the black hole. On the other hand, a single test particle on the same orbit does raise a tide on the horizon, although it does not radiate gravitational waves. The spin-down law for a black hole in the presence of a distant stationary nonaxisymmetric moon is derived.
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