2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76129We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein spacetime.Differential Geometry53B15, 53B30, 53D05, 53D17, 58A10, 58A20, 58A32Geometric structures on the tangent bundle of the Einstein spacetimetext