2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179775A gravitating global k-monopole produces a tiny gravitational field outside the core in addition to a solid angular deficit in the k-field theory. As a new feature, the gravitational field can be attractive or repulsive depending on the non-canonical kinetic term.9 pages, 2 figures, references added, typos corrected, accepted by Class. Quantum GravGeneral Relativity and Quantum Cosmologytext