Gravitational radiation reaction and balance equations to post-Newtonian order

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 55, Issue 2, 1997, Pages 714-732

  Blanchet, Luc ^a  

^a OBSERVATOIRE DE PARIS   (France)

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EID: 0001480551     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.55.714     Document Type: Article

References (63)

1. R. A. Hulse and J. H. Taylor, Astrophys. J., Lett. Ed.195, L51 (1975).
2. J. H. Taylor, L. A. Fowler, and P. M. McCulloch, Nature (London)277, 437 (1979).
3. T. Damour, Phys. Rev. Lett.51, 1019 (1983).
4. J. H. Taylor, A. Wolszczan, T. Damour, and J. M. Weisberg, Nature (London)355, 132 (1992).
5. J. H. Taylor, Class Quantum Grav.10, S167 (1993).
6. C. Cutler, T. A. Apostolatos, L. Bildsten, L. S. Finn, E. E. Flanagan, D. Kennefick, D. M. Markovic, A. Ori, E. Poisson, G. J. Sussman, and K. S. Thorne, Phys. Rev. Lett.70, 2984 (1993).
7. L. S. Finn and D. F. Chernoff, Phys. Rev. D47, 2198 (1993).
8. C. Cutler and E. Flanagan, Phys. Rev. D49, 2658 (1994).
9. E. Poisson, Phys. Rev. D47, 1497 (1993).
10. C. Cutler, L. S. Finn, E. Poisson, and G. J. Sussmann, Phys. Rev. D47, 1511 (1993).
11. H. Tagoshi and T. Nakamura, Phys. Rev. D49, 4016 (1994).
12. M. Sasaki, Prog. Theor. Phys.92, 17 (1994).
13. H. Tagoshi and M. Sasaki, Prog. Theor. Phys.92, 745 (1994).
14. E. Poisson, Phys. Rev. D52, 5719 (1995).
15. L. Blanchet, T. Damour, and B. R. Iyer, Phys. Rev. D51, 5360 (1995).
16. L. Blanchet, T. Damour, B. R. Iyer, C. M. Will, and A. G. Wiseman, Phys. Rev. Lett.74, 3515 (1995).
17. C. M. Will and A. G. Wiseman, Phys. Rev. D54, 4813 (1996).
18. L. Blanchet, Phys. Rev. D54, 1417 (1996).
19. T. Damour, in Gravitational Radiation, edited by N. Deruelle and T. Piran (North-Holland, Amsterdam, 1983), p. 59.
20. W. L. Burke, Ph.D. thesis, California Institute of Technology, 1969 (unpublished).
21. K. S. Thorne, Astrophys. J.158, 997 (1969).
22. W. L. Burke, J. Math. Phys. (N.Y.)12, 401 (1971).
23. S. Chandrasekhar, Astrophys. J.158, 45 (1969).
24. S. Chandrasekhar and Y. Nutku, Astrophys. J.158, 55 (1969).
25. S. Chandrasekhar and F. P. Esposito, Astrophys. J.160, 153 (1970).
26. J. Ehlers, A. Rosenblum, J. N. Goldberg, and P. Havas, Astrophys. J.208, L77 (1976).
27. M. Walker and C. M. Will, Astrophys. J.242, L129 (1980).
28. L. Blanchet and T. Damour, Phys. Lett.104A, 82 (1984).
29. J. L. Anderson and T. C. DeCanio, Gen. Relativ. Gravit.6, 197 (1975).GRGVA8
30. A. Papapetrou and B. Linet, Gen. Relativ. Gravit.13, 335 (1981).GRGVA8
31. J. Ehlers, Ann. (N.Y.) Acad. Sci.336, 279 (1980).ANYAA9
32. G. D. Kerlick, Gen. Relativ. Gravit.12, 467 (1980).GRGVA8
33. G. D. Kerlick, Gen. Relativ. Gravit.12, 521 (1980).GRGVA8
34. R. Breuer and E. Rudolph, Gen. Relativ. Gravit.13, 777 (1981).GRGVA8
35. R. Breuer and E. Rudolph, Gen. Relativ. Gravit.14, 181 (1982).GRGVA8
36. G. Schäfer, Ann. Phys. (N.Y.)161, 81 (1985).APNYA6
37. T. Damour and N. Deruelle, Phys. Lett.87A, 81 (1981).
38. T. Damour and N. Deruelle, C. R. Seances Acad. Sci. II, Mech.-Phys. Chim. Sci. Terre Sci. Universe293, 537 (1981).
39. T. Damour, C. R. Seances Acad. Sci. II, Mech.-Phys. Chim. Sci. Terre Sci. Universe294, 1355 (1982).
40. L. Blanchet and T. Damour, Philos. Trans. R. Soc. London, Ser. A320, 379 (1986).
41. L. Blanchet, Proc. R. Soc. London, INSA409, 383 (1987).
42. L. Blanchet and T. Damour, Phys. Rev. D46, 4304 (1992).
43. W. B. Bonnor, Philos. Trans. R. Soc. London, Ser. A251, 233 (1959).
44. W. B. Bonnor and M. A. Rotenberg, Proc. R. Soc. London, Ser. A289, 247 (1966).
45. A. J. Hunter and M. A. Rotenberg, J. Phys. A2, 34 (1969).JPHAC5
46. K. S. Thorne, Rev. Mod. Phys.52, 299 (1980).
47. L. Blanchet and T. Damour, Ann. Inst. Henri Poincaré Phys. Théor.50, 377 (1989).
48. T. Damour and B. R. Iyer, Ann. Inst. Henri Poincaré Phys. Théor.54, 115 (1991).
49. L. Blanchet, Phys. Rev. D51, 2559 (1995).
50. L. Blanchet and T. Damour, Phys. Rev. D37, 1410 (1988).
51. L. Blanchet, Phys. Rev. D47, 4392 (1993) [referred in the text to as paper I].
52. B. R. Iyer and C. M. Will, Phys. Rev. Lett.70, 113 (1993).
53. B. R. Iyer and C. M. Will, Phys. Rev. D52, 6882 (1995).
54. W. B. Bonnor and M. A. Rotenberg, Proc. R. Soc. LondonA265, 109 (1961).
55. A. Papapetrou, Ann. Inst. Henri Poincaré, A14, 79 (1971).
56. J. D. Bekenstein, Astrophys. J.183, 657 (1973).
57. W. H. Press, Phys. Rev. D15, 965 (1977).
58. A. Peres, Phys. Rev.128, 2471 (1962).
59. Our conventions and notation are the following: signature (Formula presented); greek indices =0,1,2,3; latin indices =1,2,3; (Formula presented)(Formula presented); (Formula presented) = flat metric = diag(-1,1,1,1); (Formula presented); (Formula presented); (Formula presented); (Formula presented) and (Formula presented), where (Formula presented) is a multi-index with (Formula presented) indices; (Formula presented), (Formula presented), etc…; (Formula presented) and (Formula presented) are the (symmetric) and trace-free parts of (Formula presented) and (Formula presented) for instance (Formula presented) (Formula presented)(Formula presented)(Formula presented); (Formula presented) is denoted also (Formula presented) (Formula presented)(Formula presented)(Formula presented); the superscript (Formula presented) denotes (Formula presented) time derivatives.
60. G. Schäfer, Lett. Nuovo Cimento36, 105 (1983).
61. V. A. Fock, Theory of Space, Time and Gravitation (Pergamon, London, 1959).
62. R. Epstein and R. V. Wagoner, Astrophys. J.197, 717 (1975).
63. K. S. Thorne, in Gravitational Radiation 19, p. 3.