From i ° to the 3+1 description of spatial infinity

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Abstract
By carrying out a 3+1 decomposition of the spi framework, the expressions of the conserved quantities, defined at i ° in terms of the Weyl curvature, are recast in terms of the initial data of the physical space‐time. In particular, the analysis brings out the supertranslation ambiguities in the usual 3+1 definitions of angular momentum and clarifies, within the 3+1 framework, the meaning of the stronger boundary condition needed to remove these ambiguities. The discussion is so arranged that only a minimal acquaintance with the spi framework is necessary to appreciate these issues.

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