Department of Mathematics and Applied Mathematics
The influence of structure formation on the evolution of the universe
Abstract
dc:description.abstractThe next generation of telescopes will usher in a new era of precision cosmology capable of determining key parameters of a cosmological model to percent level and beyond. For this to be effective, the theoretical model must be understood to at least the same level of precision. A range of subtle physical spacetime effcts remain to be explored theoretically, for example, the effect of backreaction on cosmological observables. A good understanding of this effect is paramount given that it is a consequence of any space-time theory of gravity. We provide a comprehensive study of this effect from the perspective of geometric averaging on a hyper-surface and averaging on the celestial sphere. We concentrate on Friedmann-Lemaitre-Robertson-Walker spacetime with small perturbation up to non-linear order . This enables us to quantify by how much this effect could change the standard model interpretation of the universe. We study in great detail key parameters of the standard model, Hubble rate, deceleration parameter and area distance.
Degree
thesis:*- Grantor dc:publisher.institution
- Department of Mathematics and Applied Mathematics
- Year dc:date.issued
- 2013
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Umeh, Obinna
- Advisors dc:contributor.advisor
-
- Clarkson, Chris
- Ellis, GFR
Rights
- Language dc:language.iso
- eng
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/11427/4938
- OAI identifier oai:identifier
- oai:open.uct.ac.za:11427/4938