Higher-dimensional vacuum cosmologies.
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Date
Authors
Abolghasem, Hossein.
Journal Title
Journal ISSN
Volume Title
Publisher
Dalhousie University
Abstract
Description
Multi-dimensional spacetimes have recently been the source of many approaches towards the construction of a unified field theory. In this thesis, higher-dimensional cosmological models are discussed. In particular, 5-dimensional noncompactified vacuum solutions of Einstein's field equations are investigated. The possibility that the 4-dimensional properties of matter may be geometric in origin is discussed by studying whether the 5-dimensional vacuum fields equations reduce to Einstein's 4-dimensional theory with nonzero energy-momentum tensor constituting the material source. It is known that the 5-dimensional vacuum Einstein field equations (in which the metric is independent of the fifth dimension) give rise to the familiar radiation FRW cosmological model. However, it is of interest to study models with more general forms of matter. A variety of different higher-dimensional vacuum solutions have been found and these are discussed.
Thesis (Ph.D.)--Dalhousie University (Canada), 1998.
Thesis (Ph.D.)--Dalhousie University (Canada), 1998.
Keywords
Mathematics., Physics, General.