Post-newtonian generation of gravitational waves
Annales de l'I.H.P. Physique théorique, Tome 50 (1989) no. 4, pp. 377-408.
partie suivante Post-newtonian generation of gravitational waves. II. The spin moments 
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Blanchet, Luc; Damour, Thibault. Post-newtonian generation of gravitational waves. Annales de l'I.H.P. Physique théorique, Tome 50 (1989) no. 4, pp. 377-408. http://archive.numdam.org/item/AIHPA_1989__50_4_377_0/

[1] For a recent general introduction to gravitational wave research see K. S. THORNE, in 300 Years of Gravitation, S. W. HAWKING and W. ISRAEL Eds., Cambridge University Press, Cambridge, England, 1987, pp. 330-458. | Zbl

[2] J.P.A. Clark and D.M. Eardley, Astrophys. J., Vol. 215, 1977, p. 311; B.F. Schutz, in Gravitational Collapse and Relativity, H. SATO and T. NAKAMURA Ed., World Scientific, Singapore, 1986, pp. 350-368; A. Krolak and B.F. Schutz, Gen. Relativ. Gravit., Vol. 19, p. 1163, 1987.

[3] J.L. Anderson and D.W. Hobill, in Dynamical Spacetimes and Numerical Relativity, J. M. CENTRELLA, Ed., Cambridge University Press, Cambridge, England, 1986, p. 389; T. Damour, in Gravitational Collapse and Relativity, H. SATO and T. NAKAMURA, Eds., World Scientific, Singapore, 1986, pp. 63-73. | MR

[4] J.H. Taylor and J.M. Weisberg, Astrophys. J., Vol. 253, 1982, p. 908; J.M. Weisberg and J.H. Taylor, Phys. Rev. Lett., Vol. 52, 1984, p. 1348; J.H. Taylor, in Timing Neutron Stars, H. ÖGELMAN and E. P. J. VAN DEN HEUVEL, Eds., Kluwer, Dordrecht, 1989, p. 17.

[5] For a review and references, see T. Damour, in 300 Years of Gravitation, S. W. HAWKING and W. ISRAEL Eds., Cambridge University Press, Cambridge, England, 1987, pp. 128-198.

[6] A. Einstein, Preuss. Akad. Wiss. Sitzber. (Berlin), 1918, p. 154. | JFM

[8] We are following the terminology of T. DAMOUR, in Gravitation in Astrophysics, Cargèse, 1986, B. CARTER and J. B. HARTLE, Eds., Plenum, New York, 1987, pp. 3-62.

[9] L.D. Landau and E.M. Lifshitz, Teoriya Polya, Nauka, Moscow, 1941.

[10] V.A. Fock, Teoriya prostranstva. vremeni i tyagoteniya, Fizmatgiz, Moscow, 1955.

[11] M. Walker and C.M. Will, Phys. Rev. Lett., Vol. 45, 1980, p. 1741; J.L. Anderson, Phys. Rev. Lett., Vol. 45, 1980, p.1745; G. Schäfer, Astrophys. J., Vol. 250, 1981, p. L5; R.A. Isaacson, J.S. Welling and J. Winicour, Phys. Rev. Lett., Vol. 53, 1984, p. 1870; F.I. Cooperstock and P.H. Lin, Phys. Rev. Lett., Vol. 55, 1985, p.265; T. Futamase and B.F. Schutz, Phys. Rev. D., Vol. 32, 1985, p.2557; J. Winicour, J. Math. Phys., Vol. 28, 1987, p. 668. | MR

[12] R. Epstein and R.V. Wagoner, Astrophys. J., Vol. 197, 1975, p. 717; R.V. Wagoner, in Gravitazione Sperimentale, B. BERTOTTI Ed., Accademia Nazionale dei Lincei, Rome, 1977, p. 117. | MR

[13] K.S. Thorne, Rev. Mod. Phys., Vol. 52, 1980, p. 299. | MR

[14] R.V. Wagoner and C.M. Will, Astrophys. J., Vol. 210, 1976, p.764; M. Turner and C.M. Will, Astrophys. J., Vol. 220, 1978, p.1107; M. Turner and R.V. Wagoner, in Sources of Gravitational Radiation, L. SMARR Ed., Cambridge University Press, Cambridge, 1979, p. 383; R.V. Wagoner, Phys. Rev. D, Vol. 19, 1979, p. 2897.

[16] V.P. Tsetkov, Sov. Astron., Vol. 28, 1984, p. 394.

[17] L. Blanchet and T. Damour, Phil. Trans. R. Soc. Lond. A, Vol. 320, 1986, p.379, hereafter referred to as paper I. | MR | Zbl

[18] L. Blanchet, Proc. R. Soc. Lond. A, Vol. 409, 1987, p. 383, hereafter referred to as paper II. | Zbl

[19] L. Blanchet and T. Damour, Phys. Rev. D, Vol. 37, 1988, p. 1410, hereafter referred to as paper III. See the introduction of paper III for references to previous contributions to the problem of the matching between the near-zone and the wave-zone gravitational fields.

[20] L. Blanchet, T. Damour and G. Schäfer, Mon. Not. R. Astro. Soc., 1990 (in press); L. Blanchet and G. Schäfer, Mon. Not. R. Astro. Soc., Vol. 239, 1989, p. 845. | MR | Zbl

[21] W.L. Burke, J. Math. Phys., Vol. 12, 1971, p.401; K.S. Thorne, Astrophys. J., Vol. 158, 1969, p. 997.

[22] L. Blanchet and T. Damour, Phys. Lett., Vol. 104A, 1984, p. 82.

[23] W.B. Campbell, J. Macek and T.A. Morgan, Phys. Rev. D, Vol. 15, 1977, p. 2156. | MR

[24] W.B. Bonnor, Phil. Trans. R. Soc. Lond. A, Vol. 251, 1959, p.233; W.B. Bonnor and M.A. Rotenberg, Proc. R. Soc. Lond. A, Vol. 289, 1966, p. 247; A.J. Hunter and M.A. Rotenberg, J. Phys. A, Vol. 2, 1969, p. 34. | MR | Zbl

[25] B.L. Schumaker and K.S. Thorne, Mon. Not. Roy. Astron. Soc., Vol. 203, 1983, p.457; L.S. Finn, Mon. Not. R. Astr. Soc., Vol. 222, 1986, p. 393. | MR

[27] P.A. Lagerstrom, Singular Perturbations-Ideas and Techniques, Springer-Verlag, New York, 1989 (in press). | MR