Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology
arXiv:1506.05842
Abstract
We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated, arbitrarily closely in Hölder norms determined by the physical metric, by shear-free smoothly conformally compact vacuum initial data.
27 pages