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We consider the massive Dirac equation in the exterior region of the5-dimensional Myers-Perry black hole. Using the resulting ODEs obtained fromthe separation of variables of the Dirac equation, we construct an integralspectral representation for the solution of the Cauchy problem with compactlysupported smooth initial data. We then prove that the probability of presenceof a Dirac particle to be in any compact region of space decays to zero as$t\to\infty$, in analogy with the case of the Dirac operator in the Kerr-Newmangeometry.

Local Dirac energy decay in the 5D Myers-Perry geometry using an integral spectral representation for the Dirac propagator