István Rácz: Hyperboloidal initial data without logarithmic singularities

First, we recall results of Andersson and Chruściel claiming that generic asymptotically hyperboloidal initial data sets admit polyhomogeneous expansions, and that only a non-generic subclass of solutions of the conformal constraint equations is free of logarithmic singularities. We also outline an argument which verifies that the existence of well-defined Bondi mass and angular momentum, together with some mild restrictions on the free data, implies that the generic solutions of the parabolic-hyperbolic form of the constraint equations are free of logarithmic singularities.