Annales Henri Poincaré

, Volume 18, Issue 8, pp 2789–2814 | Cite as

Smoothly Compactifiable Shear-Free Hyperboloidal Data is Dense in the Physical Topology

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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.

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Notes

Acknowledgements

We thank James Isenberg and John M. Lee for helpful conversations.

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© Springer International Publishing 2017

Authors and Affiliations

  1. 1.Department of Mathematical SciencesMSC 110, Lewis and Clark CollegePortlandUSA

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