Mathematics
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phdt........44b&link_type=abstract
Ph.D. Thesis Sussex Univ., Brighton (England).
Mathematics
Cosmology, Gravitational Fields, Relativity, Scalars, Space-Time Functions, String Theory, Astronomical Models, Galactic Evolution, Singularity (Mathematics), Tensor Analysis
Scientific paper
This thesis is divided into three, essentially self contained, parts. In the first part, the structure of classical 3-D space-times is examined. Here, what is known about the gravitational theories in these models is reviewed and extended. The nonexistence is investigated of a Newtonian limit to the relativistic theories showing that in the prescence of certain matter terms, Newtonian gravity can be obtained as a suitable weak field limit. A number of new, exact static and nonstatic solutions are presented to the equations of 3-D general relativity with scalar field and perfect fluid sources. The second part contains a study of certain cosmological models which have self-interacting scalar fields obeying an exponential potential. The techniques of phase portrait analysis are used to study the N-dimensional cosmological models as well as some anisotropic models. The last section is a review of the cosmic string picture of galaxy formation. The structure of the string is examined from the viewpoint of the fields.
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