Characteristic initial data and smoothness of Scri. II. Asymptotic expansions and construction of conformally smooth data sets

DOI10.1063/1.4897209zbMath1366.83012arXiv1403.3560OpenAlexW2061968351MaRDI QIDQ2928104

Tim-Torben Paetz

Publication date: 6 November 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3560

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Asymptotic expansions of solutions to ordinary differential equations (34E05) Perturbations of PDEs on manifolds; asymptotics (58J37)

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On the characteristic initial value problem for nonlinear symmetric hyperbolic systems, including Einstein equations ⋮ On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes ⋮ Stability of Minkowski space and polyhomogeneity of the metric ⋮ Characteristic initial data and smoothness of Scri. I: Framework and results ⋮ Singularities, black holes, and cosmic censorship: a tribute to Roger Penrose

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