Asymptotically simple solutions of the vacuum Einstein equations in even dimensions
Michael T. Anderson, Piotr T. Chrusciel
TL;DR
This paper introduces a conformally invariant approach to solving vacuum Einstein equations in even dimensions, providing a new proof of stability of Minkowski space and extending it to higher even dimensions.
Contribution
It presents a novel method using Fefferman-Graham tensor-derived equations to construct global solutions in all even dimensions, extending previous stability results.
Findings
New conformally invariant equations for Einstein solutions
Proof of future hyperboloidal stability in even dimensions
Extension of Minkowski stability to higher 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.
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