2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36096The problem of existence of spacelike hypersurfaces with constant mean curvature in asymptotically flat spacetimes is considered for a class of asymptotically Schwarzschild spacetimes satisfying an interior condition. Using a barrier construction, a proof is given of the existence of complete hypersurfaces with constant mean cuvature which intersect null infinity in a regular cut.30 pagesGeneral Relativity and Quantum Cosmologytext