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.

10 pages

References in corpus (3)

• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• (A)dS${}_4$ in Bondi gauge
• A review of total energy-momenta in GR with a positive cosmological constant

Cited by in corpus (1)

• Renormalization of conformal infinity as a stretched horizon