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Asymptotically simple solutions of the vacuum Einstein equations in even dimensions

Michael T. Anderson·Piotr T. Chrusciel
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Abstract

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

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Michael T. Anderson, Piotr T. Chrusciel. 2004-12-06. Asymptotically simple solutions of the vacuum Einstein equations in even dimensions. https://doi.org/10.1007/s00220-005-1424-4

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