2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177353We show that the generic solutions of the Lovelock equations with spherical, planar or hyperbolic symmetry are locally isometric to the corresponding static Lovelock black hole. As a consequence, these solutions are locally static: they admit an additional Killing vector that can either be space-like or time-like, depending on the position. This result also holds in the presence of an abelian gauge field, in which case the solutions are locally isometric to a charged static black hole.5 pagesGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext