2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34167Spacetimes with collisionless matter evolving from data on a compact Cauchy surface with hyperbolic symmetry are shown to be timelike and null geodesically complete in the expanding direction, provided the data satisfy a certain size restriction.8 pagesGeneral Relativity and Quantum Cosmologytext