Asymptotically simple solutions of the vacuum Einstein equations in even dimensions

Details Asymptotically simple solutions of the vacuum Einstein equations in even dimensions Asymptotically simple solutions of the vacuum Einstein equations in even dimensions

2004-12-06

arxiv.org/abs/gr-qc/0412020v1

Commun.Math.Phys.260:557-577,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25pp

Scientific paper

10.1007/s00220-005-1424-4

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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