Averaging the inhomogeneous universe

Type of content
Theses / Dissertations
Publisher's DOI/URI
Thesis discipline
Physics
Degree name
Bachelor of Science (Hons)
Publisher
University of Canterbury
Journal Title
Journal ISSN
Volume Title
Language
English
Date
2006
Authors
Yao, Hui
Abstract

We re-formulate and examine T. Buchert’s recent averaging scheme for scalars in cosmological applications of general relativity. The equation thus obtained can be used to describe the averaged quantities of an arbitrary inhomogeneous co-moving region and show the importance of back-reaction.

We also study the use of information theory in this averaging framework. Original extensions are mainly made along two lines: the information of inhomogeneity for different scales are compared; the possibility of use of Shannon’s entropy in inhomogeneous cosmology are investigated. We also discuss the non-locality of gravitational energy in inhomogeneous cosmology.

Examples of cosmological solutions of Buchert’s averaging scheme are studied.

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Citation
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Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
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All Rights Reserved