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Annales Henri Poincaré

, Volume 16, Issue 9, pp 2131–2162 | Cite as

Characteristic Initial Data and Smoothness of Scri. I. Framework and Results

  • Piotr T. Chruściel
  • Tim-Torben PaetzEmail author
Article
First Online:

Abstract

We analyze the Cauchy problem for the vacuum Einstein equations with data on a complete light-cone in an asymptotically Minkowskian space-time. We provide conditions on the free initial data which guarantee existence of global solutions of the characteristic constraint equations. We present necessary-and-sufficient conditions on characteristic initial data in 3 + 1 dimensions to have no logarithmic terms in an asymptotic expansion at null infinity.

Keywords

Initial Data Cauchy Problem Asymptotic Expansion Constraint Equation Weyl Tensor 
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Copyright information

© Springer Basel 2014

Authors and Affiliations

  1. 1.Gravitational PhysicsUniversity of ViennaViennaAustria

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