Post-newtonian theory and the two-body problem

Mass and Motion in General Relativity

Volumn 162, Issue , 2011, Pages 125-166

  Blanchet, Luc ^a  

^a INSTITUT D'ASTROPHYSIQUE DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GRAVITATIONAL EFFECTS; GRAVITY WAVES; RELATIVITY;

APPROXIMATION METHODS; COMPACT OBJECTS; CURRENT GENERATION; GENERAL RELATIVITY THEORY; GRAVITATIONAL RADIATION; HIGH-ACCURACY; THEORETICAL FOUNDATIONS; TWO-BODY PROBLEM;

FORECASTING;

EID: 84889639615     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-90-481-3015-3_5     Document Type: Conference Paper

References (108)

1. J.L. Anderson, T.C. DeCanio, Gen. Rel. Grav. 6, 197 (1975)
2. T.A. Apostolatos, C. Cutler, G.J. Sussman, K.S. Thorne, Phys. Rev. D 49, 6274 (1994)
3. K.G. Arun, L. Blanchet, B.R. Iyer, M.S.S. Qusailah, Class. Q. Grav. 21, 3771 (2004)
4. Erratum, ibidem 22, 3115 (2005)
5. K.G. Arun, L. Blanchet, B.R. Iyer, M.S.S. Qusailah, Phys. Rev. D 77, 064034 (2008)
6. K.G. Arun, L. Blanchet, B.R. Iyer, M.S.S. Qusailah, Phys. Rev. D 77, 064035 (2008)
7. I. Bailey, W. Israel, Ann. Phys. (N.Y.) 130, 188 (1980)
8. B.M. Barker, R.F. O'Connell, Phys. Rev. D 12, 329 (1975)
9. B.M. Barker, R.F. O'Connell, Gen. Rel. Grav. 11, 149 (1979)
10. L. Blanchet, Proc. R. Soc. Lond. A 409, 383 (1987)
11. L. Blanchet, Phys. Rev. D 47, 4392 (1993)
12. L. Blanchet, Class. Q. Grav. 15, 1971 (1998)
13. L. Blanchet, Class. Q. Grav. 15, 113 (1998)
14. Erratum, ibidem 22, 3381 (2005)
15. L. Blanchet, A. Buonanno, G. Faye, Phys. Rev. D 74, 104034 (2006)
16. Erratum, ibidem 75, 049903(E) (2007)
17. Erratum, ibidem 81, 089901(E) (2010)
18. L. Blanchet, T. Damour, Phil. Trans. R. Soc. Lond. A 320, 379 (1986)
19. L. Blanchet, T. Damour, Phys. Rev. D 37, 1410 (1988)
20. L. Blanchet, T. Damour, Ann. Inst. H. Poincare (A) Phys. Theor. 50, 377 (1989)
21. L. Blanchet, T. Damour, Phys. Rev. D 46, 4304 (1992)
22. L. Blanchet, T. Damour, G. Esposito-Farese, Phys. Rev. D 69, 124007 (2004)
23. L. Blanchet, T. Damour, G. Esposito-Farese, B.R. Iyer, Phys. Rev. Lett. 93, 091101 (2004)
24. L. Blanchet, G. Faye, J. Math. Phys. 41, 7675 (2000)
25. L. Blanchet, G. Faye, Phys. Rev. D 63, 062005 (2001)
26. L. Blanchet, G. Faye, B.R. Iyer, B. Joguet, Phys. Rev. D 65, 061501(R) (2002)
27. Erratum, ibidem 71, 129902(E) (2005)
28. L. Blanchet, G. Faye, B.R. Iyer, S. Sinha, Class. Q. Grav. 25, 165003 (2008)
29. L. Blanchet, G. Faye, S. Nissanke, Phys. Rev. D 72, 044024 (2005)
30. L. Blanchet, B.R. Iyer, B. Joguet, Phys. Rev. D 65, 064005 (2002)
31. Erratum, ibidem 71, 129903(E) (2005)
32. L. Blanchet, B.R. Iyer, C.M. Will, A.G.Wiseman, Class. Q. Grav. 13, 575 (1996)
33. C.G. Bollini, J.J. Giambiagi, Phys. Lett. B 40, 566 (1972)
34. H. Bondi, M.G.J. van der Burg, A.W.K.Metzner, Proc. R. Soc. Lond. Ser. A 269, 21 (1962)
35. A. Buonanno, G.B. Cook, F. Pretorius, Phys. Rev. D 75, 124018 (2007)
36. W.L. Burke, J. Math. Phys. 12, 401 (1971)
37. W.L. Burke, K.S. Thorne, in Relativity, ed. by M. Carmeli, S.I. Fickler, L. Witten 209 (Plenum, New York, 1970)
38. S. Chandrasekhar, Astrophys. J. 142, 1488 (1965)
39. S. Chandrasekhar, F.P. Esposito, Astrophys. J. 160, 153 (1970)
40. S. Chandrasekhar, Y. Nutku, Astrophys. J. 158, 55 (1969)
41. D. Christodoulou, Phys. Rev. Lett. 67, 1486 (1991)
42. 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, K.S. Thorne, Phys. Rev. Lett. 70, 2984 (1993)
43. C. Cutler, L.S. Finn, E. Poisson, G.J. Sussman, Phys. Rev. D 47, 1511 (1993)
44. C. Cutler, E.E. Flanagan, Phys. Rev. D 49, 2658 (1994)
45. T. Damour, Phys. Rev. Lett. 51, 1019 (1983)
46. T. Damour, in Gravitational Radiation, ed. by N. Deruelle, T. Piran 59 (North-Holland, Amsterdam, 1983)
47. T. Damour, N. Deruelle, Phys. Lett. A 87, 81 (1981)
48. T. Damour, N. Deruelle, C. R. Acad. Sci. Paris 293, 537 (1981)
49. T. Damour, B.R. Iyer, Ann. Inst. H. Poincare, (A) Phys. Theor. 54, 115 (1991)
50. T. Damour, P. Jaranowski, G. Schafer, Phys. Lett. B 513, 147 (2001)
51. T. Damour, P. Jaranowski, G. Schafer. Phys. Rev. D 77, 064032 (2008)
52. V.C. de Andrade, L. Blanchet, G. Faye, Class. Q. Grav. 18, 753 (2001)
53. W. de Sitter, Mon. Not. R. Astron. Soc. 76, 699 (1916)
54. W. de Sitter, Mon. Not. R. Astron. Soc. 77, 155 (1916)
55. W.G. Dixon, in Isolated Systems in General Relativity, ed. by J. Ehlers (North Holland, Amsterdam, 1979), p. 156
56. J. Ehlers, Ann. N.Y. Acad. Sci. 33, 279 (1980)
57. A. Einstein, Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl. 688 (1916)
58. ibidem 1111 (1916)
59. A. Einstein, L. Infeld, B. Hoffmann, Ann. Math. 39, 65 (1938)
60. G. Faye, L. Blanchet, A. Buonanno, Phys. Rev. D 74, 104033 (2006)
61. L.S. Finn, D.F. Chernoff, Phys. Rev. D 47, 2198 (1993)
62. V.A. Fock, Zh. Exp. Teor. Fiz. 9, 375 (1939). English translation: J. Phys. (Moscow) 1, 81 (1939)
63. V.A. Fock, Theory of Space, Time and Gravitation (Pergamon, London, 1959)
64. T. Futamase, Phys. Rev. D 28, 2373 (1983)
65. T. Futamase, B.F. Schutz, Phys. Rev. D 28, 2363 (1983)
66. L.A. Gergely, Phys. Rev. D 61, 024035 (1999)
67. J. Hadamard, Le probleme de Cauchy et les equations aux deriveees partielles lineaires hyperboliques (Hermann, Paris, 1932)
68. G.D. Kerlick, Gen. Rel. Grav. 12, 467 (1980)
69. G.D. Kerlick, Gen. Rel. Grav. 12, 521 (1980)
70. L.E. Kidder, Phys. Rev. D 52, 821 (1995)
71. L.E. Kidder, Phys. Rev. D 77, 044016 (2008)
72. L.E. Kidder, C.M.Will, A.G. Wiseman, Phys. Rev. D 47, R4183 (1993)
73. Y. Itoh, Phys. Rev. D 69, 064018 (2004)
74. Y. Itoh, T. Futamase, Phys. Rev. D 68, 121501(R) (2003)
75. Y. Itoh, T. Futamase, H. Asada, Phys. Rev. D 63, 064038 (2001)
76. P. Jaranowski, G. Schafer, Phys. Rev. D 57, 7274 (1998)
77. P. Jaranowski, G. Schafer, Phys. Rev. D 60, 124003 (1999)
78. H.A. Lorentz, J. Droste, Versl. K. Akad. Wet. Amsterdam 26, 392 (part I) and 649 (part II) (1917). English translation in H.A. Lorentz, Collected Papers, ed. by P. Zeeman, A.D. Fokker, vol. 5 (Nijhoff, The Hague, 1937)
79. B. Mikoczi, M. Vasuth, L.A. Gergely, Phys. Rev. D 71, 124043 (2005)
80. B.J. Owen, H. Tagoshi, A. Ohashi, Phys. Rev. D 57, 6168 (1998)
81. A. Papapetrou, Proc. Phys. Soc. A 64, 57 (1951)
82. A. Papapetrou, Proc. R. Soc. Lond. A 209, 248 (1951)
83. A. Papapetrou, B. Linet, Gen. Rel. Grav. 13, 335 (1981)
84. M.E. Pati, C.M. Will, Phys. Rev. D 62, 124015 (2000)
85. M.E. Pati, C.M. Will, Phys. Rev. D 65, 104008 (2002)
86. P.C. Peters, Phys. Rev. 136, B1224 (1964)
87. J. Plebanski, S.L. Bazanski, Acta Phys. Polon. 18, 307 (1959)
88. E. Poisson, Phys. Rev. D 52, 5719 (1995)
89. Erratum and Addendum, ibidem 55, 7980 (1997)
90. O. Poujade, L. Blanchet, Phys. Rev. D 65, 124020 (2002)
91. A.D. Rendall, Proc. R. Soc. Lond. A 438, 341 (1992)
92. M. Sasaki, Prog. Theor. Phys. 92, 17 (1994)
93. L. Schwartz, Theorie des distributions (Hermann, Paris, 1978)
94. H. Tagoshi, T. Nakamura, Phys. Rev. D 49, 4016 (1994)
95. H. Tagoshi, A. Ohashi, B.J. Owen, Phys. Rev. D 63, 044006 (2001)
96. H. Tagoshi, M. Sasaki, Prog. Theor. Phys. 92, 745 (1994)
97. T. Tanaka, H. Tagoshi, M. Sasaki, Prog. Theor. Phys. 96, 1087 (1996)
98. J.H. Taylor, Class. Q. Grav. 10, 167 (1993)
99. J.H. Taylor, L.A. Fowler, P.M. McCulloch, Nature 277, 437 (1979)
100. J.H. Taylor, J.M. Weisberg, Astrophys. J. 253, 908 (1982)
101. G. 't Hooft, M. Veltman, Nucl. Phys. B 44, 139 (1972)
102. K.S. Thorne, Rev. Mod. Phys. 52, 299 (1980)
103. K.S. Thorne, Phys. Rev. D 45, 520 (1992)
104. A. Trautman, Lectures on general relativity, issued by King's College of London (1958), published for the Brandeis Univ. Summer Inst. Theoretical Physics of 1964, ed. by A. Trautmann, F.A.E. Pirani, H. Bondi (Prentice-Hall, Englewood Cliffs, 1965), and by Gen. Rel. Grav. 34, 721 (2002)
105. W. Tulczyjew, Bull. Acad. Polon. Sci. Cl. III 5, 279 (1957)
106. W. Tulczyjew, Acta Phys. Polon. 18, 37 (1959)
107. C.M. Will, A.G. Wiseman, Phys. Rev. D 54, 4813 (1996)
108. A.G. Wiseman, C.M. Will, Phys. Rev. D 44, R2945 (1991)