2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35032We describe conformally flat initial data, with explicitly given analytic extrinsic curvature solving the vacuum momentum constraints. They follow from a solution of Dain and Friedrich discovered in 2001. The cylindrically symmetric subcase of the Bowen-York solution is a subclass of this general configuration.It is explained how the solution reported in version 1 of this paper is related to the solution of Dain and Friedrich (gr-qc/0102047)General Relativity and Quantum CosmologyOn conformally flat initial data for Einstein equationstext