Local energy decay of massive Dirac fields in the 5D Myers-Perry metric
  We consider massive Dirac fields evolving in the exterior region of a 5-dimensional Myers-Perry black hole and study their propagation properties. Our main result states that the local energy of such fields decays in a weak sense at late times. We obtain this result in two steps: first, using the separability of the Dirac equation, we prove the absence of a pure point spectrum for the corresponding Dirac operator; second, using a new form of the equation adapted to the local rotations of the black hole, we show by a Mourre theory argument that the spectrum is absolutely continuous. This leads directly to our main result. 
Thierry Daude (Universite de Cergy-Pontoise), Niky Kamran (McGill   University)
math-ph gr-qc math.MP