2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228747We present a survey of the application of Cones' Non-Commutative Geometry to gravitation. Bases of the theory and Euclidian gravity models are reviewed. Then we discuss the problem of a Lorentzian generalization of the theory and review existing attempts of solution.Contribution to the Proceedings "Geometry, Topology, Quantum fields theory & Cosmology", May 28-30, 2008, Paris, FranceMathematical PhysicsGeneral Relativity and Quantum Cosmologytext