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

Abstract

We derive necessary-and-sufficient conditions on characteristic initial data for Friedrich's conformal field equations in $3+1$ dimensions to have no logarithmic terms in an asymptotic expansion at null infinity.

arXiv comment53 pages

References in corpus (5)

• The many ways of the characteristic Cauchy problem
• The Cauchy problem on a characteristic cone for the Einstein equations in arbitrary dimensions
• Characteristic initial data and smoothness of Scri. I. Framework and results
• On free general relativistic initial data on the light cone
• "Peeling property" for linearized gravity in null coordinates

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• The mass of light-cones
• On the smoothness of the critical sets of the cylinder at spatial infinity in vacuum spacetimes