2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36726We give arguments for the existence of ``radial excitations'' of gravitational global monopoles with any number of zeros of the Higgs field and present numerical results for solutions with up to two zeros. All these solutions possess a de Sitter like cosmological horizon, outside of which they become singular. In addition we study corresponding static ``hairy'' black hole solutions, representing black holes sitting inside a global monopole core. In particular, we determine their existence domains as a function of their horizon radius rh.7 pages, LATEXGeneral Relativity and Quantum Cosmologytext