Equation of motion for relativistic compact binaries with the strong field point particle limit: Formulation, the first post-Newtonian order, and multipole terms

Physical Review D

Volumn 62, Issue 6, 2000, Pages 0640021-06400212

  Itoh, Yousuke ^a   Futamase, Toshifumi ^a   Asada, Hideki ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b HIROSAKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2342436178     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.62.064002     Document Type: Article

References (38)

1. B. Paczynski, Astrophys. J. Lett. 43, 308 (1986).
2. A. Abramovici et al.. Science 256, 325 (1992).
3. C. Bradaschia et al., Nucl. Instrum. Methods Phys. Res. A 289, 518 (1990).
4. K. Kuroda et al., in Proceedings of the International Conference on Gravitational Waves: Sources and Detections, edited by I. Ciufolini and F. Fidecard (World Scientific, Singapore, 1997), p. 100.
5. J. Hough, in Proceedings of the Sixth Marcel Grossmann Meeting, edited by H. Sato and T. Nakamura (World Scientific, Singapore, 1992), p. 192.
6. L. Blanchet, T. Damour, B.R. lyer, C.M. Will, and A.G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995).
7. L. Blanchet, in Proceedings of Les Mouches School: Relativistic Gravitation and Gravitational Radiation, edited by J.A. Marck and J.P. Lasota (Cambridge University Press, Cambridge, England, 1996).
8. Y. Mino, M. Sasaki, M. Shibata, H. Tagoshi, and T. Tanaka, Prog. Theor. Phys. Suppl. 128, 1 (1997).
9. H. Asada and T. Futamase, Prog. Theor. Phys. Suppl. 128, 123 (1997).
10. S. Chandrasekhar and P.P. Esposito, Astrophys. J. 160, 153 (1970).
11. T. Damour and N. Deruelle, Phys. Lett. 87A, 81 (1981).
12. T. Damour and N. Deruelle, C. R. Acad. Sei., Ser. II: Mec., Phys., Chim., Sei. Terre Univers 293, 537 (1981);
13. 293, 877 (1981).
14. T. Damour, C. R. Acad. Sei., Ser. H: Mec., Phys., Chim., Sei. Terre Univers 294, 1355 (1982).
15. S.M. Kopejkin, Sov. Astron. 29, 516 (1985).
16. L. Blanchel, G. Faye, and B. Ponsot, Phys. Rev. D 58, 124002 (1998).
17. T. Futamase and B.F. Schutz, Phys. Rev. D 28, 2363 (1983).
18. P. Jaranowski and G. Schafer, Phys. Rev. D 57, 7274 (1998);
19. 57, 5948 (1998).
20. A. Gopakumar, B.R. lyer, and S. lyer, Phys. Rev. D 55, 6030 (1997).
21. L. Bel, T. Damour, N. Deruelle, J. Ibanez, and J. Martin, Gen. Relativ. Gravit. 13, 963 (1981).
22. L.P. Grischuk and S.M. Kopejkin, Sov. Astron. Lett. 9, 230 (1983).
23. P.D. D'Eath, Phys. Rev. D 11, 1387 (1975);
24. 12, 2183 (1975).
25. K.S. Thorne and J.B. Hartle, Phys. Rev. D 31, 1815 (1985).
26. T. Futamase, Phys. Rev. D 32, 2566 (1985).
27. T. Futamase, Phys. Rev. D 36, 321 (1987).
28. H. Tagoshi and T. Nakamura, Phys. Rev. D 49, 4016 (1994).
29. B.F. Schutz, Phys. Rev. D 22, 249 (1980).
30. T. Futamase, Phys. Rev. D 28, 2373 (1983).
31. L.E. Kidder, Phys. Rev. D 52, 821 (1995).
32. V.A. Brumberg and S.M. Kopejkin, Nuovo Cimento Soc. Ital. Fis., B 103, 3 (1989).
33. T. Damour, M. Soffel, and C. Xu, Phys. Rev. D 43, 3273 (1991);
34. 45, 1017 (1992);
35. 47, 3124 (1993);
36. 49, 618 (1994).
37. L.D. Landau and E.M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962).
38. Mathematically, Eqs. (4.15) and (B12) are wrong about the ordering. But it was easier to calculate with these expressions than those in a correct ordering, so we adopted the former ones.