Bondi-type systems near spacelike infinity and the calculation of the Newman-Penrose constants (Q2737927)

In this paper, Bondi systems, which are based on the null infinity structure, are related near spacelike infinity to another gauge condition [the F gauge, see \textit{H. Friedrich}, J. Geom. Phys. 24, 83-163 (1998; Zbl 0896.53053)] based on Cauchy data, Einstein propagation, and certain properties of conformal structures. NEWLINENEWLINENEWLINEOnly spacetimes arising from time symmetric vacuum data satisfying certain asymptotic regularity conditions are considered. These initial data are assumed to develop into solutions admitting a smooth conformal structure at null inifinity and the F gauge conditions are assumed to extend in a smooth and regular way to null infinity. NEWLINENEWLINENEWLINEUnder these assumptions, expansions near spacelike infinity of quantities given in Bondi systems (particularly Newman-Penrose constants) can be expressed in terms of the coordinates arising in the F gauge and coefficients given by the initial data on the Cauchy hypersurface.