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We show that a set of conformally invariant equations derived from theFefferman-Graham tensor can be used to construct global solutions of the vacuumEinstein equations, in all even dimensions. This gives, in particular, a new,simple proof of Friedrich's result on the future hyperboloidal stability ofMinkowski space-time, and extends its validity to even dimensions.Comment: 25p

Asymptotically Simple Solutions of the Vacuum Einstein Equations in Even Dimensions