Hidden symmetries and decay for the Vlasov equation on the Kerr   spacetime
  This paper proves the existence of a bounded energy and integrated energy decay for solutions of the massless Vlasov equation in the exterior of a very slowly rotating Kerr spacetime. This combines methods previously developed to prove similar results for the wave equation on the exterior of a very slowly rotating Kerr spacetime with recent work applying the vector-field method to the relativistic Vlasov equation. 
Lars Andersson, Pieter Blue, J\'er\'emie Joudioux
math.AP gr-qc math-ph math.MP