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The spin 3/2 perturbations of a rotating black hole are analyzed in the framework of linearized supergravity, expressing the complete solution of the Rarita-Schwinger equation in terms of a Debye potential. The equation governing the Debye potential is separated and the radial equation is transformed into a Schr\"odinger-type equation with a short-range potential from which the reflection and transmission coefficients can be calculated.
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Castillo et al. (1990) studied this question.
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