Generic failure of conformal smoothness at future null infinity for Einstein vacuum scattering
Generic failure of conformal smoothness at future null infinity for Einstein vacuum scattering
Let the Einstein vacuum equations be posed as a scattering problem with conformally regular data on an ingoing null hypersurface and no incoming radiation from past null infinity. Generic conformal nonsmoothness conjecture. Generically, the future development fails to be conformally smooth near . This conjecture concerns the expected generic breakdown of conformal smoothness at future null infinity despite regular characteristic data and the absence of incoming radiation; the supplied context does not establish its resolution.
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Primary source
Lionor M. A. Kehrberger, “The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples”, arXiv:2105.08079 (2023).
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