2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34452A formalism (zeta-complex analysis), allowing one to construct global Einstein metrics by matching together local ones described in the papers Phys. Lett. B 513(2001)142-146; Diff. Geom. Appl. 16(2002)95-120, is developed. With this formalism the singularities of the obtained metrics are described naturally as well.LateX file, 27 pages, 6 figuresGeneral Relativity and Quantum Cosmologytext