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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Communicated by James A. Isenberg.
Preprint UWThPh-2014-1.
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Chruściel, P.T., Paetz, TT. Characteristic Initial Data and Smoothness of Scri. I. Framework and Results. Ann. Henri Poincaré 16, 2131–2162 (2015). https://doi.org/10.1007/s00023-014-0364-y
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DOI: https://doi.org/10.1007/s00023-014-0364-y