Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology

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.

arXiv comment27 pages

References in corpus (1)

• The shear-free condition and constant-mean-curvature hyperboloidal initial data

Cited by in corpus (1)

• The shear-free condition and constant-mean-curvature hyperboloidal initial data