Many interesting gravitational-wave sources can be effectively described in a large-mass ratio expansion. The leading effect of the lighter secondary in such sources can be read off from the dynamics of a spinning test particle in the space-time of the heavy primary. I will discuss the integrability and exact solution of motion of spinning test particles in black hole space-times, focusing on bound motion but also mentioning some results on scattering.
This video was produced by the International Centre for Mathematical Sciences, as part of the workshop General Relativity from AMPlitudes Alliance.
