2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184571The Rarita-Schwinger equation in a curved background and an external electromagnetic field is discussed. We analyse the equation in the 2-component spinor formalism and derive Buchdahl conditions for them. The result is that the equation can consistently be imposed only on Einstein manifolds with vanishing electromagnetic field.Mathematical PhysicsGeneral Relativity and Quantum Cosmologytext