Corpus ID: 119134342

A global analysis proof of the stability of Minkowski space and the polyhomogeneity of the metric

  title={A global analysis proof of the stability of Minkowski space and the polyhomogeneity of the metric},
  author={P. Hintz and A. Vasy},
  journal={arXiv: Analysis of PDEs},
We first give a new proof of the non-linear stability of the $(3+1)$-dimensional Minkowski spacetime as a solution of the Einstein vacuum equation. We then show that the metric admits a full asymptotic expansion at infinity, more precisely at the boundary hypersurfaces (corresponding to spacelike, null, and timelike infinity) of a suitable compactification of $\mathbb{R}^4$ adapted to the bending of outgoing light cones. We work in a wave map/DeTurck gauge closely related to the standard wave… Expand
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