1202.1630 (Thierry Daude et al.)

Local energy decay of massive Dirac fields in the 5D Myers-Perry metric    [PDF]

Thierry Daude, Niky Kamran

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.

View original: http://arxiv.org/abs/1202.1630