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arXiv · 2110.07688

The Einstein metrics with smooth scri

Jacek Tafel
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Abstract

We consider solutions of the Einstein equations with cosmological constant $\Lambda\neq 0$ admitting conformal compactification with smooth scri $\mathscr{I^+}$. 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.

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Jacek Tafel. 2021-10-14. The Einstein metrics with smooth scri. https://doi.org/10.1007/s10714-022-02986-5

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