Long time existence from interior gluing

Abstract

We prove the "existence of a piece of Scri near $i^0$" (with most likely poor differentiability of the conformally rescaled metric) for general asymptotically flat data with well-defined energy-momentum. The proof uses scaling and a gluing construction to reduce the problem to Bieri's stability theorem.

arXiv admin note: text overlap with arXiv:1612.04359 authors note: this paper builds upon arXiv:1612.04359 v2: various small improvements

References in corpus (4)

• Construction of N-body initial data sets in general relativity
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
• Future-complete null hypersurfaces, interior gluings, and the Trautman-Bondi mass
• Construction of N-body time-symmetric initial data sets in general relativity

Cited by in corpus (3)

• The Case Against Smooth Null Infinity I: Heuristics and Counter-Examples
• Stability of Minkowski space and polyhomogeneity of the metric
• Future-complete null hypersurfaces, interior gluings, and the Trautman-Bondi mass