GRAVITATIONAL-WAVES FROM A SPINNING PARTICLE IN CIRCULAR ORBITS AROUND A ROTATING BLACK-HOLE

Using the Teukolsky and Sasaki-Nakamura formalisms for the perturbatio ns around a Kerr black hole, we calculate the energy flux of gravitati onal waves induced by a spinning particle of mass mu and spin S moving in circular orbits near the equatorial plain of a rotating black hole of mass M(much greater than mu) and spin M alpha. The calculations ar e performed by using the recently developed post-Newtonian expansion t echnique of the Teukolsky equation. To evaluate the source terms of pe rturbations caused by a spinning particle, we use the equations of mot ion of a spinning particle derived by Papapetrou and the energy-moment um tensor of a spinning particle derived by Dixon. We present the post -Newtonian formula of the gravitational wave luminosity up to the orde r (v/c)(5) beyond the quadrupole formula including the linear order of particle spin. The results obtained in this paper will be an importan t guideline to the post-Newtonian calculation of the inspiral of two s pinning compact objects.