2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35603Vacuum static, axially symmetric space-times in $D$-dimensional general relativity with a Ricci-flat internal space are discussed. It is shown, in particular, that some of the monopole-type solutions are free of curvature singularities and their source can be a disk membrane bounded by a ring with a string or branching type singularity. Another possibility is a wormhole configuration where a particle can penetrate to another spatial infinity by passing through a ring with a string or branching type singularity. The results apply, in particular, to vacuum and scalar-vacuum configurations in conventional general relativity.6 pages, Latex, 1 figure (inside the Latex file). To appear in Gravitation and Cosmology journalGeneral Relativity and Quantum CosmologyVACUUM STATIC, AXIALLY SYMMETRIC FIELDS IN D-DIMENSIONAL GRAVITYtext