  A nonsingular localized static classical solution is constructed for standard
Einstein gravity coupled to an $SO(3)\times SO(3)$ chiral model of scalars
(Skyrme model). This solution corresponds to a spacetime defect and its
construction proceeds in three steps. First, an \textit{Ansatz} is presented
for a solution with nonsimply connected topology of the spacetime manifold.
Second, an exact vacuum solution of the reduced field equations is obtained.
Third, matter fields are included and a particular exact solution of the
reduced field equations is found. The latter solution has a diverging total
energy, but its existence at least demonstrates that a nonsingular defect-type
solution having nonsimply connected topology is possible with nontrivial matter
fields.
