2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52152We develop a novel approach to gravity in which gravity is described by a matrix-valued symmetric two-tensor field and construct an invariant functional that reduces to the standard Einstein-Hilbert action in the commutative limit. We also introduce a gauge symmetry associated with the new degrees of freedom.7 pages, to be published in Phys. Lett. BHigh Energy Physics - Theorytext