Asymptotically simple solutions of the vacuum Einstein equations in even dimensions

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.

25pp

References in corpus (4)

• Conformal Null Infinity Does Not Exist for Radiating Solutions in Odd Spacetime Dimensions
• The Ambient Obstruction Tensor and Q-Curvature
• On mapping properties of the general relativistic constraints operator in weighted function spaces, with applications
• On the Asymptotics for the Vacuum Einstein Constraint Equations

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