Journal
PROGRESS OF THEORETICAL PHYSICS
Volume 117, Issue 6, Pages 1041-1066Publisher
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
DOI: 10.1143/PTP.117.1041
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General orbits of a particle of small mass p around a Kerr black hole of mass M are characterized by three parameters: the energy, the angular momentum and the Carter constant. The time-averaged rates of change of the energy and the angular momentum can be obtained by computing the corresponding fluxes of gravitational waves emitted by the particle. By contrast, the time-averaged rate of change of the Carter constant cannot be expressed as a flux of gravitational waves. Recently a method to compute this rate of change was proposed by Mino, and we refined it into a simplified form. In this paper we further extend our previous work to give a new formulation without the aid of expansion in terms of a small inclination angle.
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