The Einstein metrics with smooth scri

Abstract

We consider solutions of the Einstein equations with cosmological constant $\Lambda \ne 0$ admitting conformal compactification with smooth scri ${\mathcal{I}}^{+}$. Metrics are written in the Bondi-Sachs coordinates and expanded into inverse powers of the affine distance $r$. Unlike in the case $\Lambda =0$ all free data are located on the scri. There are linear differential constraints on the Bondi mass and angular momentum aspects. All other components of metrics are defined in a recursive way.

arXiv comment10 pages

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• Renormalization of conformal infinity as a stretched horizon