Effective one-body approach to general relativistic two-body dynamics

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 59, Issue 8, 1999, Pages 1-24

  Buonanno, A ^a   Damour, T ^a,b  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^b OBSERVATOIRE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010625970     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.59.084006     Document Type: Article

References (49)

1. E. Brézin, C. Itzykson and J. Zinn-Justin, Phys. Rev. D 1, 2349 (1970).
2. C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, 1980), p. 83.
3. I. T. Todorov, Phys. Rev. D 3, 2351 (1971); V. A. Rizov, I. T. Todorov and B. L. Aneva, Nucl. Phys. B98, 447 (1975); I. T. Todorov, in Properties of Fundamental Interactions, edited by A. Zichichi (Editrice Compositori, Bologna, 1973), Vol. 9C, pp. 951-979.
4. I. T. Todorov, Phys. Rev. D 3, 2351 (1971); V. A. Rizov, I. T. Todorov and B. L. Aneva, Nucl. Phys. B98, 447 (1975); I. T. Todorov, in Properties of Fundamental Interactions, edited by A. Zichichi (Editrice Compositori, Bologna, 1973), Vol. 9C, pp. 951-979.
5. I. T. Todorov, Phys. Rev. D 3, 2351 (1971); V. A. Rizov, I. T. Todorov and B. L. Aneva, Nucl. Phys. B98, 447 (1975); I. T. Todorov, in Properties of Fundamental Interactions, edited by A. Zichichi (Editrice Compositori, Bologna, 1973), Vol. 9C, pp. 951-979.
6. A. Maheswari, E. R. Nissimov and I. T. Todorov, Lett. Math. Phys. 5, 359 (1981).
7. 2), implicit in Ref. [1], which we use in our approach.
8. T. Damour and N. Deruelle, Phys. Lett. 87A, 81 (1981).
9. T. Damour, C. R. Seances Acad. Sci., Ser. 2 294, 1355 (1982).
10. T. Damour and N. Deruelle, C. R. Seances Acad. Sci., Ser. 2 293, 537 (1981).
11. T. Damour and N. Deruelle, C. R. Seances Acad. Sci., Ser. 2 293, 877 (1981).
12. T. Damour and G. Schäfer, Gen. Relativ. Gravit. 17, 879 (1985).
13. T. Damour and G. Schäfer, Nuovo Cimento 10, 123 (1988).
14. R. Arnowitt, S. Deser and C. W. Misner, Phys. Rev. 120, 313 (1960).
15. T. Ohta, H. Okamura, T. Kimura and K. Hiida, Prog. Theor. Phys. 51, 1220 (1974).
16. G. Schäfer, Gen. Relativ. Gravit. 18, 255 (1986).
17. T. Damour, in 300 Years of Gravitation, edited by S. W. Hawking and W. Israel (Cambridge University Press, Cambridge, England, 1987), pp. 128-198.
18. T. Ohta and T. Kimura, Prog. Theor. Phys. 81, 679 (1989); 81, 662 (1989).
19. T. Ohta and T. Kimura, Prog. Theor. Phys. 81, 679 (1989); 81, 662 (1989).
20. G. Schäfer and N. Wex, Phys. Lett. A 174, 196 (1993); 177, 461(E) (1993).
21. G. Schäfer and N. Wex, Phys. Lett. A 174, 196 (1993); 177, 461(E) (1993).
22. G. Schäfer, in Symposia Gaussiana, Proceedings of the 2nd Gauss Symposium, Conference A: Mathematics and Theoretical Physics, edited by M. Behara, R. Fritsch and R. Lintz (Walter de Gruyter, Berlin, 1995), p. 667.
23. P. Jaranowski and G. Schäfer, Phys. Rev. D 57, 5948 (1998); 57, 7274 (1998).
24. P. Jaranowski and G. Schäfer, Phys. Rev. D 57, 5948 (1998); 57, 7274 (1998).
25. G. Schäfer, Ann. Phys. (N.Y.) 161, 81 (1985).
26. T. Damour, B. R. Iyer and B. S. Sathyaprakash, Phys. Rev. D 57, 885 (1998).
27. L. E. Kidder, C. M. Will and A. G. Wiseman, Class. Quantum Grav. 9, L127 (1992); Phys. Rev. D 47, 3281 (1993).
28. L. E. Kidder, C. M. Will and A. G. Wiseman, Class. Quantum Grav. 9, L127 (1992); Phys. Rev. D 47, 3281 (1993).
29. N. Wex and G. Schäfer, Class. Quantum Grav. 10, 2729 (1993).
30. G. Schäfer and N. Wex, in XIIIth Moriond Workshop: Perspectives in Neutrinos, Atomic Physics and Gravitation, edited by J. Trân Thanh Vân, T. Damour, E. Hinds and J. Wilkerson (Editions Frontières, Gif-sur-Yvette, 1993), p. 513.
31. J. C. Lombardi, F. A. Rasio and S. L. Shapiro, Phys. Rev. D 56, 3416 (1997).
32. J. R. Wilson and G. J. Mathews, Phys. Rev. Lett. 75, 4161 (1995); J. R. Wilson, G. J. Mathews and P. Marronetti, Phys. Rev. D 54, 1317 (1996).
33. J. R. Wilson and G. J. Mathews, Phys. Rev. Lett. 75, 4161 (1995); J. R. Wilson, G. J. Mathews and P. Marronetti, Phys. Rev. D 54, 1317 (1996).
34. T. W. Baumgarte, G. B. Cook, M. A. Scheel, S. L. Shapiro and S. A. Teukolsky, Phys. Rev. D 57, 7299 (1998).
35. C. W. Misner, K. Thorne and J. A. Wheeler, Gravitation (Freeman, New York, 1973).
36. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon, Oxford, 1962).
37. J. P. A. Clark and D. M. Eardley, Astrophys. J. 215, 311 (1977).
38. J. K. Blackburn and S. Detweiler, Phys. Rev. D 46, 2318 (1992).
39. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
40. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
41. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
42. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
43. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
44. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
45. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
46. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
47. B. R. Iyer and C. Will, Phys. Rev. Lett. 70, 113 (1993); Phys. Rev. D 52, 6882 (1995); L. Blanchet, T. Damour, B. R. Iyer, C. M. Will and A. G. Wiseman, Phys. Rev. Lett. 74, 3515 (1995); L. Blanchet, Phys. Rev. D 54, 1417 (1996); 55, 714 (1997); P. Jaranowski and G. Schäfer, ibid. 55, 4712 (1997); A. Gopakumar, B. R. Iyer and S. Iyer, ibid. 55, 6030 (1997); 57, 6562(E) (1998); A. Gopakumar and B. R. Iyer, ibid. 56, 7708 (1997).
48. L. Blanchet et al. (in preparation).
49. D. W. Arnett and R. L. Bowers, Astrophys. J., Suppl. 33, 415 (1977).