  A transitional layer matching the asymptotically flat exterior of a charged,
massive toroidal body to an interior with spatially cylindrical symmetry is
described. The changes in the geometry, which by themselves would require an
energy tensor violating the energy conditions of classical general relativity,
are compensated for by an additional strong electric field. Part of its
gradient is consumed, depending on how much the exterior toroid departs from
local cylindrical symmetry; what is left over can be used to effect further
transitions in the cylindrical interior. An example is given of such a
transition creating an angular deficit, allowing an otherwise infinite cosmic
string to be captured within a bounded source.
