Gravitational radiation from a particle in circular orbit around a black hole. IV. Analytical results for the slowly rotating case

A particle of mass moves on a circular, equatorial orbit around a slowly rotating black hole of mass M. If, the gravitational waves emitted by the particle can be computed using the Teukolsky perturbation formalism. If, further, the orbital frequency is such that v (M) ^1{3} is small, then the Teukolsky equation can be integrated analytically. I present such calculations here, and derive corrections to the gravitational waveforms and luminosity due to the slow rotation of the black hole. The results are in agreement with a more general analysis, based on post-Newtonian theory, by Kidder, Will, and Wiseman.