Post-Newtonian generation of gravitational waves-II: The spin moments

Abstract

This second paper in a series developing a new formalism of the generation of gravitational waves uses the approach of Fock, of splitting into near-zone and external problems, whose solutions are then matched. In the first paper [{\it L. Blanchet} and the first author, ibid. 50, No. 4, 377-408 (1989; Zbl 0684.53059)] it was shown that the mass multiple moment is given, up to fourth order terms in $1/c$, by a well-defined space integral with compact support of the material source. In the present paper the authors give a closely analogous result for the spin multipole moment.