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

2015/06/18 by Paul T. Allen, Allen, Paul T., Iva Stavrov Allen +1
Mathematics · Physics and Astronomy · #83C05 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1506.05842

openalex publication_date 2015/06/18 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We show that any polyhomogeneous asymptotically hyperbolic\nconstant-mean-curvature solution to the vacuum Einstein constraint equations\ncan be approximated, arbitrarily closely in H "older norms determined by the\nphysical metric, by shear-free smoothly conformally compact vacuum initial\ndata.\n

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