Smoothly compactifiable shear-free hyperboloidal data is dense in the physical topology
classification
🧮 math.DG
keywords
dataphysicalshear-freesmoothlyvacuumapproximatedarbitrarilyasymptotically
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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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