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Post-Newtonian generation of gravitational waves. II: The spin moments. (English) Zbl 0746.53056

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 [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.

MSC:

53Z05 Applications of differential geometry to physics
83C35 Gravitational waves
53B50 Applications of local differential geometry to the sciences

Citations:

Zbl 0684.53059

References:

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