Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology
Differential Geometry
2015-06-22 v1
Abstract
We show that any polyhomogeneous asymptotically hyperbolic constant-mean-curvature solution to the vacuum Einstein constraint equations can be approximated, arbitrarily closely in H\"older norms determined by the physical metric, by shear-free smoothly conformally compact vacuum initial data.
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Cite
@article{arxiv.1506.05842,
title = {Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology},
author = {Paul T. Allen and Iva Stavrov Allen},
journal= {arXiv preprint arXiv:1506.05842},
year = {2015}
}
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27 pages