2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33969In this article a new solution of the Einstein-Dirac's equations is presented. There are ghost spinors, i.e. the stress-energy tensor is equal to zero and the current of these fields is non-zero vector. Last the ghost neutrino was found. These ghost spinors and shadow particles of Deutsch are identified. And in result the ghost spinors have a physical interpretation and solutions of the field equations for shadow electrons as another shadow particles are found.8 pages, LaTeX2eGeneral Relativity and Quantum Cosmologytext