Multipole structure of stationary gravitational fields at null infinity

Abstract

The multipole structure of the gravitational field produced by a stationary, isolated source at null infinity is investigated using a Bondi-type null polar coordinate system. The results are connected with the previous works of the author on the multipole expansion of stationary, asymptotically flat, vacuum solutions of the Einstein equations in the framework of the Geroch–Hansen one-point compactification scheme. The present work strongly suggests that all such solutions are analytic in the inverse luminosity distance r−1 in a Bondi chart.