  Numerical solutions of Einstein, scalar, and gauge field equations are found
for static and inflating defects in a higher-dimensional spacetime. The defects
have $(3+1)$-dimensional core and magnetic monopole configuration in $n=3$
extra dimensions. For symmetry-breaking scale $\eta$ below the critical value
$\eta_c$, the defects are characterized by a flat worldsheet geometry and
asymptotically flat extra dimensions. The critical scale $\eta_c$ is comparable
to the higher-dimensional Planck scale and has some dependence on the gauge and
scalar couplings. For $\eta=\eta_c$, the extra dimensions degenerate into a
`cigar', and for $\eta>\eta_c$ all static solutions are singular. The
singularity can be removed if the requirement of staticity is relaxed and
defect cores are allowed to inflate. The inflating solutions have de Sitter
worldsheets and cigar geometry in the extra dimensions. Exact analytic
solutions describing the asymptotic behavior of these inflating monopoles are
found and the parameter space of these solutions is analyzed.
