Angular momentum in general relativity. II - Perturbations of a rotating black hole

Details Angular momentum in general relativity. II - Perturbations of a rotating black hole Angular momentum in general relativity. II - Perturbations of a rotating black hole

Jun 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977rspsa.355....1p&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 355, no. 1680, June 30, 1977, p. 1-29.

Astronomy and Astrophysics

Astrophysics

1

Angular Momentum, Astrophysics, Black Holes (Astronomy), Relativity, Rotating Matter, Gravitational Effects, Perturbation Theory, Weighting Functions

Scientific paper

The paper explains how a previously obtained expression can be used to evaluate the angular momentum of a stationary (i.e., axisymmetric) rotating black hole described by one of the Kerr metrics and how the weighting function in that expression can be determined. The way in which the angular momentum changes is investigated for both matter and purely gravitational perturbations, and a solution for the gravitational-perturbation case is obtained in terms of the shear induced in the event horizon by the perturbations and of its time integral. Teukolsky's (1973) solutions for the perturbed component of the Weyl tensor are employed to find this shear and give an exact answer for the rate of change of angular momentum. The results are applied to a number of problems concerning the relation between the rates of change of black-hole angular momentum and mass, effects of stationary gravitational perturbations, and changes in the rotational axis of a slowly rotating black hole due to the presence of a single satellite, two or more satellites, and a continuous ring of particles.

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