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arxiv: gr-qc/0412020 · v1 · pith:HU634TLJnew · submitted 2004-12-06 · 🌀 gr-qc · math.DG

Asymptotically simple solutions of the vacuum Einstein equations in even dimensions

classification 🌀 gr-qc math.DG
keywords dimensionsequationseveneinsteinsimplesolutionsvacuumasymptotically
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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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