Quasinormal modes for a spin-3/2 field in a reissner-Nordstrom background
Date
2017
Authors
Ngcobo, Xolane Ignitious
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Abstract
In this dissertation I will present quasinormal mode results calculated using two
approximation methods; the Wentzel-Kramers-Brillouin (WKB) and the Asymptotic
iteration method (AIM). I will rst do two brief examples, where we will compute the QNMs
for a scalar eld in a Schwarzschild and Reissner-Nordstr=om background, then the QNMs
for a massless Dirac spinor in a Schwarzschild background. These two examples will help
build some intuition leading up to the main subject of this dissertation - the spin-3/2 field.
The use of the WKB method is motivated by the works of Sai Iyer and Clifford M. Will
[1], where they applied the WKB approximation method to computing the QNMs for black
holes perturbed by fields. The AIM approximation method used here is the improved AIM
approach of Cho et al [2]. This work is aimed at understanding the behaviour of spin-3/2
fi eld in a blackhole background, and since the Schwarzschild background for the spin-3/2
has been intensively studied, I have decided that the Reissner-Nordstrom background will be
very interesting to study as it is a charged background.
Description
A dissertation submitted in the fulflment of the requirement for
the Master of Science in the school of
physics, University of the Witwatersrand, Johannesburg, 2017.
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Citation
Ngcobo, Xolane Ignitious (2017) Quasinormal modes for a spin-3/2 field in a Reissner-Nordstrom background, University of the Witwatersrand, Johannesburg, https://hdl.handle.net/10539/25006