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In a recent paper we calculated the field equations of spin-3/2 fields in a$D$-dimensional Reissner-Nordstr\"om black hole spacetime whilst maintainingthe gauge symmetry of the Rarita-Schwinger equation. We were also able todetermine the quasi-normal modes of the associated gauge invariant variablesusing the WKB approximation and the asymptotic iteration method (AIM). However,it was found that for higher dimension, and especially for the near extremalcases, the effective potential developed another maximum. The shape of thepotential posed difficulties for the WKB approximations, as well as the AIM. Assuch, in this proceedings we would like to explore the connection between theAIM and the continued fraction method, and determine a possible reason for thedifficulty in calculating the quasi-normal modes for spin-3/2 fields in thisspacetime.

Quasi-normal modes of spin-3/2 fields in $D$-dimensional Reissner-Nordstr\"om black hole spacetimes using the continued fraction method