2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197766Extending the results of an earlier article we give a complete description of the asymptotically flat, conformally non-flat, static vacuum data which admit non-trivial, asymptotically smooth conformal mappings onto other such data. These data form a 3-parameter family which decomposes into 1-parameter families of data which are conformal to each other. The data and the associated static vacuum solutions are given explicitly in terms of elliptic and, in a special case, elementary functions.18 pagesGeneral Relativity and Quantum Cosmologytext