A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. Johannesburg, June 2016. / This dissertation will focus on spin-3/2 perturbations on N-dimensional Schwarzschild
black holes, with the aim of calculating the numerical values for the quasi-normal modes
(QNMs) and absorption probabilities associated with these perturbations. We begin
by determining the spinor-vector eigenmodes of our particles on an (N-2)-dimensional
spherical background. This allows us to separate out the angular part and radial part
on our N-dimensional Schwarzschild metric. We then determine the equations of motion
and e ective potential of our particles near the N-dimensional black hole. Using
techniques such as the Wentzel-Kramers-Brillouin and Improved Asymptotic Iterative
Method we determine our QNMs and absorption probabilities. We see that higher dimensional
black holes emit QNMs with larger real and imaginary values, this would
imply they emit higher energy particles but that these particles are highly dampened
and therefore would be di cult to detect. The results of the QNMs make sense if we also
consider the e ective potential surrounding our black holes with the potential function
increasing with increasing number of dimensions.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:wits/oai:wiredspace.wits.ac.za:10539/21023 |
| Date | January 2016 |
| Creators | Harmsen, Gerhard Erwin |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | Online resource (64 leaves), application/pdf |
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