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arXiv · 1403.3558

Characteristic initial data and smoothness of Scri. I. Framework and results

Piotr T. Chruściel·Tim-Torben Paetz
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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.

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Piotr T. Chruściel, Tim-Torben Paetz. 2014-03-14. Characteristic initial data and smoothness of Scri. I. Framework and results. https://doi.org/10.1007/s00023-014-0364-y

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