Spin-3/2 fields in $D$-dimensional Schwarzschild black hole space-times

Abstract

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.

32 pages, 3 figures

References in corpus (5)

• Electromagnetic wave scattering by Schwarzschild black holes
• Split fermion quasi-normal modes
• Scattering from charged black holes and supergravity
• Bulk dominated fermion emission on a Schwarzschild background
• Small Treatise on Spin-3/2 Fields and their Dual Spectral Functions

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