Conformally connected universes

A well-known difficulty associated with the conformal method for the solution of the general relativistic Hamiltonian constraint is the appearance of an aphysical “bag of gold” singularity at the nodal surfaces of the conformal factor. This happens whenever the background Ricci scalar is too large. Using a simple model we demonstrate that some of these singular solutions do have a physical meaning, and that these can be considered as initial data for Universes containing black holes, which are connected, in a conformally nonsingular way with each other. The relation between the ADM mass and the horizon area in this solution supports the cosmic censorship conjecture.