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Characteristic initial data and smoothness of Scri. I. Framework and results (1403.3558v3)
Published 14 Mar 2014 in gr-qc
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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