On the stability of the Taub universe

An analysis of the stability of the Taub universe for arbitrary, initially small perturbations is carried out. It is found that the perturbations decrease during the expansion and increase during the contraction of the unperturbed space. In the process we obtain the general solution to a system of six coupled, linear, partial differential equations in six unknown functions of four variables.This work will be presented as a thesis to the Department of Physics, University of Chicago, in partial fulfillment of the requirements for the Ph. D. degree.