Spin-32perturbations of the Kerr-Newman solution

The equations for the spin-$\frac{3}{2}$ perturbations of a rotating charged black hole given by the linearized O(2) extended supergravity model are solved, expressing their complete solution in terms of two Debye potentials that obey the same differential equation. The equation governing the radial parts of the Debye potentials is transformed into a Schrödinger-type equation with a short-range real potential. It is also shown that there exist spin-$\frac{3}{2}$ perturbations corresponding only to ingoing or only to outgoing waves.