D. Kennefick et A. Ori, RADIATION-REACTION-INDUCED EVOLUTION OF CIRCULAR ORBITS OF PARTICLES AROUND KERR BLACK-HOLES, Physical review. D. Particles and fields, 53(8), 1996, pp. 4319-4326
It is demonstrated that, in the adiabatic approximation, nonequatorial
circular orbits of particles in the Kerr metric (i.e., orbits of cons
tant Boyer-Lindquist radius) remain circular under the influence of gr
avitational radiation reaction. A brief discussion is given of conditi
ons for breakdown of adiabaticity and of whether slightly noncircular
orbits are stable against the growth of eccentricity.