Gravitational radiation near spatial and null infinity

Source abstract

Abstract Taking Bondi’s approach to an extreme by adding a 1/u-expansion to the usual 1/r-expansion, one can study the effects of the presence of mass at space-like infinity. Assuming convergence of the formal expansion one finds: (1) the limit of the Bondi mass agrees with the ADM-mass of certain space-like hypersurfaces; (2) relations between expansion coefficients on space-like hypersurfaces and the radiation field on J+ can be given; (3) analytic properties in J+ lead to non-analytic behaviour on space-like hypersurfaces.