Skip to main content
SpringerLink
Log in

Post-Newtonian Gravitational Radiation

  • Conference paper
  • First Online:
Book cover Einstein’s Field Equations and Their Physical Implications

Part of the book series: Lecture Notes in Physics ((LNP,volume 540))

Abstract

Let us declare that the most important devoir of any physical theory is to draw firm predictions for the outcome of laboratory experiments and astronomical observations. Unfortunately, the devoir is quite difficult to fulfill in the case of general relativity, essentially because of the complexity of the Einstein field equations, to which only few exact solutions are known. For instance, it is impossible to settle the exact prediction of this theory when there are no symmetry in the problem (as is the case in the problem of the gravitational dynamics of separated bodies). Therefore, one is often obliged, in general relativity, to resort to approximation methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J.H. Taylor, L.A. Fowler and P.M. Mc Culloch (1979) Nature 277, 437

    Article  ADS  Google Scholar 

  2. J.H. Taylor and J.M. Weisberg (1982) Astrophys. J. 253, 908

    Article  ADS  Google Scholar 

  3. J.H. Taylor (1993) Class. Quantum Grav. 10, S167

    Article  ADS  Google Scholar 

  4. K. Thorne, in Gravitational Radiation, N. Deruelle and T. Piran (eds.) (1983) North-Holland publishing company, p. 1

    Google Scholar 

  5. A. Ashtekar, in Gravitational Radiation, N. Deruelle and T. Piran (eds.) (1983) North-Holland publishing company, p. 421

    Google Scholar 

  6. J. Ehlers (1987) in the Proc. 11th Intern. Conf. on General Relativity and Gravitation, M. Mc Callum (ed.), Cambridge U. Press

    Google Scholar 

  7. J. Ehlers, A. Rosenblum, J.N. Goldberg and P. Havas (1976) Astrophys. J. 208, L77

    Article  ADS  Google Scholar 

  8. M. Walker and C.M. Will (1980) Astrophys. J. 242, L129

    Article  ADS  Google Scholar 

  9. J. Ehlers, in Classical Mechanics and Relativity: Relationship and Consistency, G. Ferrarese (ed.) (1991) Bibliopolis, Napoli

    Google Scholar 

  10. J. Ehlers (1997) Class. Quant. Gravity 14, A119

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. J. Ehlers (1998) The Newtonian limit of General Relativity, in Understanding Physics, Kundt-Festschrift

    Google Scholar 

  12. M. Lottermoser (1990) Ph. D. dissertation, Munich University, unpublished

    Google Scholar 

  13. A.D. Rendall (1992) Proc. R. Soc. Lond. A438, 341

    ADS  MathSciNet  Google Scholar 

  14. T. Futamase (1983) Phys. Rev. D28, 2373

    ADS  MathSciNet  Google Scholar 

  15. T. Futamase and B.F. Schutz (1983) Phys. Rev. D28, 2363

    ADS  MathSciNet  Google Scholar 

  16. L. Bel, T. Damour, N. Deruelle, J. Ibañez and J. Martin (1981) Gen. Relativ. Gravit. 13, 963

    Article  ADS  Google Scholar 

  17. T. Damour and N. Deruelle (1981) Phys. Lett. 87A, 81

    ADS  Google Scholar 

  18. T. Damour (1982) C. R. Acad. Sc. Paris, 294, 1355

    MathSciNet  Google Scholar 

  19. T. Damour, in Gravitational Radiation, N. Deruelle and T. Piran (eds.), (North-Holland publishing Company, 1983), p. 59.

    Google Scholar 

  20. H.A. Lorentz and J. Droste (1917) Versl. K. Akad. Wet. Amsterdam 26, 392 and 649; in the collected papers of H.A. Lorentz, vol. 5, The Hague, Nijho. (1937)

    Google Scholar 

  21. A. Einstein, L. Infeld and B. Hoffmann (1938) Ann. Math. 39, 65

    Article  MathSciNet  Google Scholar 

  22. T. Damour (1983) Phys. Rev. Lett. 51, 1019

    Article  ADS  Google Scholar 

  23. L. Blanchet and T. Damour (1986) Philos. Trans. R. Soc. London A 320, 379

    Google Scholar 

  24. L. Blanchet (1995) Phys. Rev. D51, 2559

    ADS  Google Scholar 

  25. L. Blanchet (1998) Class. & Quantum Grav., 15, 1971

    Google Scholar 

  26. T. Damour and B. Schmidt (1990) J. Math. Phys. 31, 2441

    Article  MATH  ADS  MathSciNet  Google Scholar 

  27. D. Christodoulou and B.G. Schmidt (1979) Commun. Math. Phys. 68, 275

    Article  ADS  MathSciNet  Google Scholar 

  28. A.D. Rendall (1990) Class. & Quantum Gravity 7, 803

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. L. Blanchet (1987) Proc. R. Soc. Lond. A 409, 383

    ADS  MathSciNet  Google Scholar 

  30. L. Blanchet and T. Damour (1989) Ann. Inst. H. Poincaré (Phys. Théorique) 50, 377

    MATH  ADS  MathSciNet  Google Scholar 

  31. L. Blanchet (1993) Phys. Rev. D 47, 4392

    ADS  Google Scholar 

  32. L. Blanchet (1997) Phys. Rev. D 55, 714

    ADS  Google Scholar 

  33. B.R. Iyer and C.M. Will (1993) Phys. Rev. Lett. 70, 113

    Article  ADS  Google Scholar 

  34. B.R. Iyer and C.M. Will (1995) Phys. Rev. D52, 6882

    ADS  Google Scholar 

  35. T. Damour, in Gravitation in Astrophysics, B. Carter and J.B. Hartle (eds.) (Plenum Press, New York and London, 1986).

    Google Scholar 

  36. T. Damour, in 300 Years of Gravitation, S.W. Hawking and W. Israel (eds.) (Cambridge Univ. Press, Cambridge, 1987).

    Google Scholar 

  37. K.S. Thorne, in 300 Years of Gravitation, S.W. Hawking and W. Israel (eds.), (Cambridge Univ. Press, Cambridge, 1987).

    Google Scholar 

  38. C.M. Will, in Proc. of the 8th Nishinomiya-Yukawa Symposium on Relativistic Cosmology, ed. M. Sasaki (Universal Acad. Press, Japan, 1994).

    Google Scholar 

  39. L. Blanchet (1996) in Relativistic gravitation and gravitational radiation, J.A. Marck and J.P. Lasota (eds.), Cambridge U. Press

    Google Scholar 

  40. J.M. Bardeen and W.H. Press (1973) J. Math. Phys. 14, 7

    Article  ADS  MathSciNet  Google Scholar 

  41. B.G. Schmidt and J.M. Stewart (1979) Proc. R. Soc. London A367, 503

    ADS  MathSciNet  Google Scholar 

  42. M. Walker and C.M. Will (1979) Phys. Rev. D 19, 3495

    ADS  MathSciNet  Google Scholar 

  43. J. Porrill and J.M. Stewart (1981) Proc. R. Soc. London A376, 451

    ADS  MathSciNet  Google Scholar 

  44. V.A. Fock (1959) Theory of Space, Time and Gravitation, Pergamon, London

    Google Scholar 

  45. S. Chandrasekhar (1965) Astrophys. J. 142, 1488

    Article  ADS  MathSciNet  Google Scholar 

  46. S. Chandrasekhar and Y. Nutku (1969) Astrophys. J. 158, 55

    Article  ADS  MathSciNet  Google Scholar 

  47. S. Chandrasekhar and F.P. Esposito (1970) Astrophys. J. 160, 153

    Article  ADS  MathSciNet  Google Scholar 

  48. J. Ehlers (1977) in the Proc. of the International school of Relativistic Astrophysics, J. Ehlers (ed.), Erice, MPI:München

    Google Scholar 

  49. J. Ehlers (1980) Ann. N.Y. Acad. Sci. 336, 279

    Article  ADS  Google Scholar 

  50. G.D. Kerlick (1980) Gen. Rel. Grav. 12, 467

    Article  ADS  Google Scholar 

  51. G.D. Kerlick (1980) Gen. Rel. Grav. 12, 521

    Article  ADS  Google Scholar 

  52. A. Caporali (1981) Nuovo Cimento 61B, 181

    ADS  MathSciNet  Google Scholar 

  53. R. Breuer and E. Rudolph (1981) Gen. Rel. Grav. 13, 777

    Article  ADS  MathSciNet  Google Scholar 

  54. R. Breuer and E. Rudolph (1982) Gen. Rel. Grav. 14, 181

    Article  MATH  ADS  MathSciNet  Google Scholar 

  55. J.L. Anderson and T.C. DeCanio (1975) Gen. Relat. Grav. 6, 197

    Article  MATH  ADS  Google Scholar 

  56. A. Papapetrou and B. Linet (1981) Gen. Relat. Grav. 13, 335

    Article  MATH  ADS  MathSciNet  Google Scholar 

  57. G. Schäfer (1985) Ann. Phys. (N.Y.) 161, 81

    Article  ADS  Google Scholar 

  58. G. Schäfer (1986) Gen. Rel. Grav. 18, 255

    Article  ADS  Google Scholar 

  59. W.B. Bonnor (1959) Philos. Trans. R. Soc. London A 251, 233

    Article  ADS  MathSciNet  Google Scholar 

  60. K.S. Thorne (1980) Rev. Mod. Phys. 52, 299

    Article  ADS  MathSciNet  Google Scholar 

  61. W.L. Burke and K.S. Thorne, in Relativity, M. Carmeli et al. (eds) (Plenum Press, New York, 1970) p. 208–209.

    Google Scholar 

  62. W.L. Burke (1971) J. Math. Phys. 12, 401

    Article  ADS  Google Scholar 

  63. R.E. Kates (1980) Phys. Rev. D22, 1853

    ADS  MathSciNet  Google Scholar 

  64. R.E. Kates (1980) Phys. Rev. D22, 1871

    ADS  MathSciNet  Google Scholar 

  65. J.L. Anderson, R.E. Kates, L.S. Kegeles and R.G. Madonna (1982) Phys. Rev. D25, 2038

    ADS  Google Scholar 

  66. T. Damour and B.R. Iyer (1991) Ann. Inst. H. Poincaré (Phys. Théorique) 54, 115

    MATH  MathSciNet  Google Scholar 

  67. L. Blanchet and T. Damour (1984) Phys. Lett. 104A, 82

    ADS  MathSciNet  Google Scholar 

  68. L. Blanchet and T. Damour (1988) Phys. Rev. D37, 1410

    ADS  Google Scholar 

  69. L. Blanchet and T. Damour (1992) Phys. Rev. D46, 4304

    ADS  MathSciNet  Google Scholar 

  70. L. Blanchet (1998) Class. & Quantum Grav., 15, 89

    Article  MATH  ADS  MathSciNet  Google Scholar 

  71. L. Blanchet (1998) Class. & Quantum Grav., 15, 113

    Article  MATH  ADS  MathSciNet  Google Scholar 

  72. L. Blanchet, T. Damour and B.R. Iyer (1995) Phys. Rev. D 51, 5360

    ADS  Google Scholar 

  73. L. Blanchet (1996) Phys. Rev. D 54, 1417

    ADS  Google Scholar 

  74. L. Blanchet, G. Faye and B. Ponsot (1998) Phys. Rev. D 58, 124002

    ADS  Google Scholar 

  75. C.M. Will and A.G. Wiseman (1996) Phys. Rev. D 54, 4813

    ADS  Google Scholar 

  76. R. Epstein and R.V. Wagoner (1975) Astrophys. J. 197, 717

    Article  ADS  MathSciNet  Google Scholar 

  77. L. Blanchet, B.R. Iyer and B. Joguet, in preparation.

    Google Scholar 

  78. T. Damour and B.R. Iyer (1991) Phys. Rev. D43, 3259

    ADS  MathSciNet  Google Scholar 

  79. W.B. Campbell, J. Macek and T.A. Morgan (1977) Phys. Rev. D15, 2156

    ADS  MathSciNet  Google Scholar 

  80. W.B. Bonnor and M.A. Rotenberg (1966) Proc. R. Soc. London A289, 247

    ADS  MathSciNet  Google Scholar 

  81. A.J. Hunter and M.A. Rotenberg (1969) J. Phys. A 2, 34

    ADS  Google Scholar 

  82. W. G. Dixon (1979) in Isolated Gravitating systems in general relativity, J. Ehlers (ed.), North Holland, Amsterdam

    Google Scholar 

  83. J. Ehlers and E. Rudolph (1977) Gen. Rel. Grav. 8, 197

    Article  MATH  ADS  MathSciNet  Google Scholar 

  84. R. Schattner (1979) Gen. Rel. Grav. 10, 377

    Article  ADS  MathSciNet  Google Scholar 

  85. R. Schattner and M. Streubel (1981) Ann. Inst. H. Poincaré 34, 117

    ADS  MathSciNet  Google Scholar 

  86. M. Streubel and R. Schattner (1981) Ann. Inst. H. Poincaré 34, 145

    ADS  MathSciNet  Google Scholar 

  87. E. Poisson (1993) Phys. Rev. D 47, 1497

    ADS  MathSciNet  Google Scholar 

  88. L. Blanchet and G. Schäfer (1993) Class. & Quantum Grav. 10, 2699

    Article  ADS  Google Scholar 

  89. P.N. Payne (1983) Phys. Rev. D28, 1894

    ADS  Google Scholar 

  90. L. Blanchet (1990) thèse d’habilitation, Université P. et M. Curie (unpublished).

    Google Scholar 

  91. A.G. Wiseman and C.M. Will (1991) Phys. Rev. D44, R2945

    ADS  MathSciNet  Google Scholar 

  92. K.S. Thorne (1992) Phys. Rev. D45, 520

    ADS  MathSciNet  Google Scholar 

  93. D. Christodoulou (1991) Phys. Rev. Lett. 67, 1486

    Article  MATH  ADS  MathSciNet  Google Scholar 

  94. J. Frauendiener (1992) Class. & Quantum Gravity 9, 1639

    Article  ADS  MathSciNet  Google Scholar 

  95. 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 (1993) Phys. Rev. Lett. 70, 2984

    Google Scholar 

  96. C. Cutler, L.S. Finn, E. Poisson and G.J. Sussman (1993) Phys. Rev. D47, 1511

    ADS  MathSciNet  Google Scholar 

  97. J. Hadamard (1932) Le problème de Cauchy et les équations aux dérivées partielles linéaires hyperboliques, Paris: Hermann

    Google Scholar 

  98. L. Schwartz, Théorie des distributions (Hermann, Paris, 1978).

    MATH  Google Scholar 

  99. M. Sasaki (1994) Prog. Theor. Phys. 92, 17

    Article  ADS  Google Scholar 

  100. H. Tagoshi and M. Sasaki (1994) Prog. Theor. Phys. 92, 745

    Article  ADS  Google Scholar 

  101. T. Tanaka, H. Tagoshi and M. Sasaki (1996) Prog. Theor. Phys. 96, 1087

    Article  ADS  Google Scholar 

  102. T. Ohta, H. Okamura, T. Kimura and K. Hiida (1974) Progr. Theor. Phys. 51, 1220

    Article  ADS  Google Scholar 

  103. T. Ohta, H. Okamura, T. Kimura and K. Hiida (1974) Progr. Theor. Phys. 51, 1598

    Article  ADS  Google Scholar 

  104. S.M. Kopejkin (1985) Astron. Zh. 62, 889

    ADS  Google Scholar 

  105. L.P. Grishchuk and S.M. Kopejkin (1986) in Relativity in Celestial Mechanics and Astrometry, J. Kovalevsky and V.A. Brumberg (eds.), Reidel, Dordrecht

    Google Scholar 

  106. L. Blanchet, B.R. Iyer, C.M. Will and A.G. Wiseman (1996) Class. Quantum Grav. 13, 575

    Article  MATH  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Département d’Astrophysique Relativiste et de Cosmologie, Centre National de la Recherche Scientifique (UMR 8629), Observatoire de Paris, 92195, Meudon Cedex, France

    Luc Blanchet

Authors
  1. Luc Blanchet
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Max-Planck-Institut für Gravitationshysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476, Golm, Germany

    Bernd G. Schmidt

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Blanchet, L. (1999). Post-Newtonian Gravitational Radiation. In: Schmidt, B.G. (eds) Einstein’s Field Equations and Their Physical Implications. Lecture Notes in Physics, vol 540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46580-4_3

Download citation

  • DOI: https://doi.org/10.1007/3-540-46580-4_3

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67073-5

  • Online ISBN: 978-3-540-46580-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation