2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213325We prove the Morse relations for the set of all geodesics connecting two non-conjugate points on a class of globally hyperbolic Lorentzian manifolds. We overcome the difficulties coming from the fact that the Morse index of every geodesic is infinite, and from the lack of the Palais-Smale condition, by using the Morse complex approach.19 pages; updated references, final versionDifferential Geometrytext