In previous works we have studied spin-3/2 fields near 4-dimensional Schwarzschild black holes. The techniques we developed in that case have now been extended here to show that it is possible to determine the potential of spin-3/2 fields near D-dimensional black holes by exploiting the radial symmetry of the system. This removes the need to use the Newman-Penrose formalism, which is difficult to extend to D-dimensional space-times. In this paper we will derive a general D-dimensional gauge invariant effective potential for spin-3/2 fields near black hole systems. We then use this potential to determine the quasi-normal modes and absorption probabilities of spin-3/2 fields near a D-dimensional Schwarzschild black hole.
@article{arxiv.1605.05263,
title = {Spin-3/2 fields in $D$-dimensional Schwarzschild black hole space-times},
author = {C. -H. Chen and H. T. Cho and A. S. Cornell and G. Harmsen},
journal= {arXiv preprint arXiv:1605.05263},
year = {2016}
}