Radiation reaction in the Kerr gravitational field

The radiative Green functions for the massless scalar, electromagnetic and gravitational perturbations of the Kerr space-time are constructed using the Teukolsky (1973) formalism. The reaction force acting upon a test particle, which can emit radiation of any spin s=0, 1, 2, is calculated and shown to account correctly for the energy and the angular momentum carried away by radiation to infinity and to the event horizon. The azimuthal component of the reaction force is found to remain finite for a particle at rest in the Boyer-Lindquist coordinates owing to non-zero angular momentum transfer to the rotating hole. This anomalous static force of radiation reaction emerges as the counteraction to Hawking's tidal friction.