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We relate Bondi systems near space-like infinity to another type of gaugeconditions. While the former are based on null infinity, the latter are definedin terms of Einstein propagation, the conformal structure, and data on someCauchy hypersurface. For a certain class of time symmetric space-times we studyan expansion which allows us to determine the behavior of various fieldsarising in Bondi systems in the region of space-time where null infinitytouches space-like infinity. The coefficients of these expansions can be readoff from the initial data. We obtain in particular expressions for theconstants discovered by Newman and Penrose (NP-constants) in terms of theinitial data. For this purpose we calculate a certain expansion up to 3rdorder.Comment: 35 page

Bondi-type systems near spacelike infinity and the calculation of the Newman–Penrose constants