Gravitational waves from a spinning particle in circular orbits around a rotating black hole
Abstract
Using the Teukolsky and Sasaki-Nakamura formalisms for the perturbations around a Kerr black hole, we calculate the energy flux of gravitational waves induced by a spinning particle of mass m and spin S moving in circular orbits near the equatorial plain of a rotating black hole of mass M(@m) and spin Ma . The calculations are performed by using the recently developed post-Newtonian expansion technique of the Teukolsky equation. To evaluate the source terms of perturbations caused by a spinning particle, we use the equations of motion of a spinning particle derived by Papapetrou and the energy-momentum tensor of a spinning particle derived by Dixon. We present the post-Newtonian formula of the gravitational wave luminosity up to the order (v/c) 5 beyond the quadrupole formula including the linear order of particle spin. The results obtained in this paper will be an important guideline to the post-Newtonian calculation of the inspiral of two spinning compact objects. @S0556-2821~96!02016-4#
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