2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104612A Large N expansion for gravity is proposed. The scheme is based on the splitting of the Einstein-Hilbert action into the BF topological action plus a constraint. The method also allows to include matter fields. The relation between matter and non orientable fat graphs in the expansion is stressed; the special role of scalars is shortly discussed. The connections with the Holographic Principle and higher spin fields are analyzed.Accepted for publication on Nuclear Physics B. 25 pages, 11 figures, reference addedHigh Energy Physics - TheoryGeneral Relativity and Quantum CosmologyHigh Energy Physics - PhenomenologyMathematical Physicstext