Quasi normal modes for a spin-3/2 field in a 4-dimensional Reissner-Nordström black hole background.

We will present a theoretical framework for studying Quasi Normal Modes (QNMs) for spin-3/2 fields in a 4-dimensional Reissner-Nordström black hole background, as a foundation for understanding higher-dimensional black holes. This work is useful in cases where we wish to study the signatures of micro higher-dimensional black holes, and how we might detect them during the experiments performed in the LHC at CERN. We shall make use of the Wentzel-Kramers-Brilloin (WKB) method to compute the QNMs for black holes perturbed by fields. We take the approximation to 6th order and compare these results to those we obtain using the improved asymptotic iterative method. Using the WKB method to 3rd order we are able to generate absorption probabilities associated to our spin-3/2 fields. Finally we compare these results to those obtained for the Schwarzschild black hole.