2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99845We prove that many features of Thurston's Dehn surgery theory for hyperbolic 3-manifolds generalize to Einstein metrics in any dimension. In particular, this gives large, infinite families of new Einstein metrics on compact manifolds.29pp. Original result (from v1) restoredDifferential GeometryGeneral Relativity and Quantum CosmologyDehn filling and Einstein metrics in higher dimensionstext