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A vacuum type D initial data set is a vacuum initial data set of the Einstein field equations whose data development contains a region where the space-time is of Petrov type D.
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Y. Choquet-Bruhat, General Relativity and the Einstein Equations , Oxford Mathematical Monographs, Oxford University Press, (2009)
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A. D. Ionescu and S. Klainerman, On the Global Stability of the Wave-map Equation in Kerr Spaces with Small Angular Momentum , Annals of PDE 1
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