  We determine the different possible space-time metrics inside an infinite
rotating hollow cylinder with given energy density and longitudinal and
azimuthal stresses, the metric outside the cylinder being chosen of the
spinning cosmic string type. The solutions we obtain for various domains of
values of the cylinder parameters include a space-time with topologically
Euclidean spatial sections, a black-hole solution, a quasi-regular solution,
and various wormhole solutions. A solution which is regular only if the
longitudinal dimension is compactified might approximately describe spontaneous
compactification of the cylinder to a torus.
