2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36354We study the utilization of conformal compactification within the conformal approach to solving the constraints of general relativity for asymptotically flat initial data. After a general discussion of the framework, particular attention is paid to simplifications that arise when restricting to a class of initial data which have a certain $U(1)\times U(1)$ conformal symmetry.Contribution to the 8th Conference on Theoretical Physics, General Relativity and Gravitation in Bistrita-Nasaud, Romania; LaTeX, 13 pagesGeneral Relativity and Quantum Cosmologytext