Equation of motion for relativistic compact binaries with the strong field point particle limit: The second and half post-Newtonian order

Physical Review D

Volumn 63, Issue 6, 2001, Pages

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

^a TOHOKU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ASTRONOMY; COSMOS; GRAVITY; MATHEMATICAL MODEL; MOTION;

EID: 84865073058     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.63.064038     Document Type: Article

References (50)

1. A. Abramovici et al. Science 256, 325 (1992).
2. C. Bradaschia et al, Nucl. Instrum. Methods Phys. Res. A 289, 518 (1990).
3. J. Hough, in Proceedings of the Sixth Marcel Grossmann Meeting, edited by H. Sato and T. Nakamura (World Scientific, Singapore, 1992), p. 192.
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. H. Tagoshi et al., Int. J. Mod. Phys. D 9, 319 (2000). See also TAMA 300 web site URL http://tamago.mtk.nao.ac.jp/ tama.html
6. A monopole-truncated object is a spherically symmetric object which is not necessarily compact. Though an equation of motion for such objects is useful for describing inspiraling binaries, we stress that we have to take into account the effect of multipole moments of stars to derive accurate templates especially for binaries in late inspiraling phase.
7. T. Damour and N. Deruelle, Phys. Lett. 87A, 81 (1981).
8. T. Damour and N. Deruelle, C. R. Acad. Sei., Ser. II: Mec., Phys., Chim., Sei. Terre Univers 293, 537 (1981); 293, 877 (1981).
9. T. Damour, C. R. Acad. Sei., Ser. H: Mec., Phys., Chim., Sei. Terre Univers 294, 1355 (1982).
10. T. Damour, in Gravitational Radiation, edited by N. Deruelle and T. Piran (North-Holland, Amsterdam, 1983), p. 59.
11. L. P. Grishchuk and S. M. Kopejkin, Pis'ma Astron. Zh. 9,436 (1983)
12. [Sov. Astron. Lett. 9, 230 (1983)].
13. S. M. Kopejkin, Astron. Zh. 62, 889 (1985)
14. [Sov. Astron. 29, 516 (1985)].
15. A. Gopakumar, B. R. lyer, and S. lyer, Phys. Rev. D 55, 6030 (1997).
16. G. Schäfer, Gen. Relativ. Gravit. 18, 255 (1986).
17. P. Jaranowski and G. Schafer, Phys. Rev. D 57, 7274 (1998); 57, 5948 (1998).
18. L. Blanchet, G. Faye, and B. Ponsot, Phys. Rev. D 58, 124002 (1998).
19. L. Blanchet and G. Faye, Phys. Lett. A 271, 58 (2000).
20. L. Blanchet and G. Faye, Phys. Rev. D (to be published), gr-qc/0007051.
21. C. Cutler et al, Phys. Rev. Lett. 70, 2984 (1993).
22. C. Cutler and E. E. Flanagan, Phys. Rev. D 49, 2658 (1994).
23. H. Tagoshi and T. Nakamura, Phys. Rev. D 49, 4016 (1994).
24. T. Tanaka, H. Tagoshi, and M. Sasaki, Prog. Theor. Phys. 96, 1087 (1996).
25. T. Damour, B. R. lyer, and B. S. Sathyaprakash, Phys. Rev. D 57, 885 (1998).
26. L. Blanchet, T. Damour, B. R. lyer, C. M. Will, and A. G. Wlseman, Phys. Rev. Lett. 74, 3515 (1995).
27. L. Blanchet, B. R. lyer, C. M. Will, and A. G. Wisemann, Class. Quantum Grav. 13, 575 (1996).
28. L. Blanchet, Phys. Rev. D 54, 1417 (1996).
29. S. Droz and E. Poisson, Phys. Rev. D 56, 4449 (1997);
30. S. Droz, Phys. Rev. D ibid. 59, 064030 (1999).
31. L. Bei, T. Damour, N. Deruelle, J. Ibanez, and J. Martin, Gen. Relativ. Gravit. 13, 963 (1981).
32. T. Futamase, Phys. Rev. D 32, 2566 (1985).
33. T. Futamase, Phys. Rev. D 36, 321 (1987).
34. Another group is now trying to derive the 3 PN equation of motion. M. E. Pati and C. M. Will, Phys. Rev. D 62, 124015 (2000).
35. P. Jaranowski and G. Schäfer, Phys. Rev. D 60, 124003 (1999).
36. T. Damour, R. Jaranowski, and G. Schäfer, Phys. Rev. D 62, 021501 (2000).
37. L. Blanchet and G. Paye, J. Math. Phys. 41, 7675 (2000).
38. L. Blanchet and G. Faye, gr-qc/0006100, 2000.
39. Y. Itoh, T. Futamase, and H, Asada, Phys. Rev. D 62, 064002 (2000).
40. A. Einstein, L. Infeld, and B. Hoffmann, Ann. Math. 39, 65 (1938).
41. B. F. Schutz, Phys. Rev. D 22, 249 (1980).
42. T. Futamase and B. F. Schutz, Phys. Rev. D 28, 2363 (1983).
43. T. Futamase, Phys. Rev. D 28, 2373 (1983).
44. B. F. Schutz, in Relativity, Supersymmetry and Cosmology, edited by O. Bressan, M. Castagnino, and V. Hamity (World Scientific, Singapore, 1985), p. 3.
45. See also H. Asada and T. Futamase, Prog. Theor. Phys. Suppl. 128, 123 (1997).
46. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962).
47. K. S. Thorne and J. B. Hartle, Phys. Rev. D 31, 1815 (1985).
48. L. E. Kidder, Phys. Rev. D 52, 821 (1995).
49. V. Fock, The Theory of Space Time and Gravitation (Pergamon Press, Oxford, 1959).
50. L. Blanchet, T. Damour, and B. R. lyer, Phys. Rev. D 51,5360 (1995).