Einstein and gravitational radiation

  • Edoardo Amaldi
Experimental aspects of general relativity
Part of the Lecture Notes in Physics book series (LNP, volume 124)


Brownian Motion Gravitational Wave Gravitational Radiation Gravitational Wave Detector Standard Pulse 
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  1. 1.
    Einstein, A., König. Preuss. Akad. der Wissenschaften, Sitzungsberichte, Erster Halbband, 688 (1916), and 154 (1918).Google Scholar
  2. 2.
    Einstein, A., König. Preuss. Akad. der Wissenschaften, Sitzungsberichte, zweiter Halbband, 833 (1915); 844 (1915).Google Scholar
  3. 3.
    Our notations differ from those of Einstein because as fourth space-time coordinate he uses the imaginary variable x4 = it, while we use the real variable xo = ct. Furthermore our hik corresponds to his γμ/v.Google Scholar
  4. 4.
    Levi-Civita, Rend. Ace. Lincei 26, 381.... (1917)Google Scholar
  5. 5.
    See, for example: Landau, L.D., and Lifshitz, E.M., The classical theory of fields, Pergamon, Oxford (1971).Google Scholar
  6. 6.
    See for example: Trautman, A., in Gravitation, an introduction to Current Research, (Ed. L. Witten) Wilev. New York (1962).Google Scholar
  7. 7.
    Eddington,E.S., Proc. Roy. Soc. A 102, 268 (1923).Google Scholar
  8. 8.
    Pirani, F.A.E., Proc. of the Chapel Hill Conference on tje Role of Gravitation in Physics, Astra Document N.AB 1181 80: Acta Phys. Polon. XV, 389 (1956).Google Scholar
  9. 9.
    Bondi, H., Royaumont Conference, Royaumont, France, June 1959, (unpublished).Google Scholar
  10. 10.
    Weber, J., Phys. Rev. 117, 306 (1960).Google Scholar
  11. 11.
    Weber, J., Phys. Rev. Lett. 22, 1302 (1969). For a summary of his work, see: J. Weber: Proc. of the Symposium on “Experimental Gravitation”, Pavia, 1976 (Ed. B. Bertotti), Convegni Lincei, 34, 213, Acad. Naz. Lincei, Roma (1977).Google Scholar
  12. 12.
    Taylor, J.H., Fowler, L.A., McCulloch, P.M., Ninth Texas Symposium on Relativistic Astrophysics, Munich, 14–19 December 1978; see also McCulloch, P.M., this volume.Google Scholar
  13. 13.
    Hulse, R.A., Taylor, J.H., Astrophys.J.(Letters), 195, L51 (1975).Google Scholar
  14. 14.
    Tsubono, K., Hirakawa, H., Fujimoto, M-K., J. Phys. Soc. Japan, 45, 1767 (1978); Phys. Rev. D17, 1919 (1978).Google Scholar
  15. 15.
    Ruffini, R., and Wheeler, J.A., in The Significance of Space Research for Fundamental Physics, ESRO, Interlaken (1969).Google Scholar
  16. 16.
    Rees, M., Ruffini, R., and Wheeler, J., Black Holes, Gravitational Waves and Cosmology, Gordon and Breach, New York, (1974).Google Scholar
  17. 17.
    Wahlquist, H.D., Anderson, J.D., Estabrook, F.B., Thorne, K.S.,:: Proc. of the Symposium on “Experimental Gravitation”, Pavia, 1976 (Ed. V. Bertotti), Convegni Lincei 34, 335 (1977).Google Scholar
  18. 18.
    Misner, C.W., in Gravitational Radiation and Gravitational Collapses, IAU Symp. 64, (Ed. C. DeWitt-Morette) Reidel, Dordrecht (1974).Google Scholar
  19. 19.
    Anderson, J.D., in Proceedings of the International School of Physics, Enrico Fermi, LVI, ‘Experimental Gravitation' (Ed. B. Bertotti) Academic Press, New York (1973).Google Scholar
  20. 19 a.
    Estabrook, F.B., Wahlquist, H.D., General Relativity and Gravitation 6, 439 (1975).Google Scholar
  21. 19 b.
    Anderson, A.J.: Proc. of the Symposium on “Experimental Gravitation”, Pavia, 1976 (Ed. B. Bertotti), Convegni Lincei, 34, 235.(1977).Google Scholar
  22. 20.
    Misner, C.W., Thorne, K.S., and Wheeler, J., Gravitation, Freeman, San Francisco (1973).Google Scholar
  23. 21.
    The only exceptions are the 'square antennae’ of the Tokyo group, H. Hirakawa: Proc. of the Symposium on “Experimental Gravitation”, Pavia, 1976 (Ed. B. Bertotti) Convegni Lincei, 34, 227, Acad. Naz. Lincei, Roma (1977); essentially the same dynamical consideraitons given here for cylindrical bars can be applied to the fundamental quadrupole mode of vibration of the Japanese square antenna.Google Scholar
  24. 22.
    Giffard, R.P., Phys. Rev., 14D, 2478 (1976); and “Sensitivity of Resonant Gravitational Wave Detectors using Conventional Amplifiers”, (unpublished).Google Scholar
  25. 23.
    Nitti, G.: “Risposta di una o piu antenne gravitazionali in coincidenza, in funzione delle direzioni di incidenza e stato di polarizzazione dell'onda incidente”. Tesi di Laurea dello Istituto di Fisica G. Marconi, Universita di Roma, aprile 1978; Nitti, G.; Orientazione di antenne gravitazionali: Nota Interna N. 716, 15 novembre 1978. Istituto di Fisica G. Marconi, Universita di Roma.Google Scholar
  26. 24.
    Amaldi, E., Pizzella, G., “Search for Gravitational Waves”, in Centenario di Einstein 1879–1979: Astrofisica e Cosmologie Gravitazione, Quanti e Relitivita, Giunti-Barbera, Firenze (1979), in press.Google Scholar
  27. 25.
    Born,M., in Albert Einstein, Philosopher-Scientist (Ed. P.A.Schielpp), Tudor, New York, (1951).Google Scholar
  28. 26.
    Einstein, A., Annalen der Physik, 17, 549 (1905).Google Scholar
  29. 27.
    Einstein, A., Annalen der Physik, 19, 371 (1906).Google Scholar
  30. 28.
    Marian v. Smolan Smoluchowski: Rozprawy Krakov A46, 257 (1906), German Trans. in Annalen der Physik 21, 756 (1906).Google Scholar
  31. 29.
    For a discussion of the different approaches of Einstein and Smoluchowski see, for example, Ch 9 of: Brush, S.G., The Kind of Motion we call Heat, North-Holland, Amsterdam (1976).Google Scholar
  32. 30.
    Braginsky, V.B., in Topics in Theoretical and Experimental Gravitation physics (Ed. V. De Sabbata and J. Wheeler), Proc. Intern. School of “Cosmology and Gravi tation” Erice, (Plenum Press, London ) (1976): Proc. of the Symposium on “Experimental Gravitation”, Pavia, 1976 (Ed. B. Bertotti), Convegni Lincei, 34, 219 (1977).Google Scholar
  33. 31.
    Pizzella, G., Nouvo Cimento, 2C, 209 (1979).Google Scholar
  34. 32.
    Uhlembeck, G.E., Ornstein, L.S., Phys. Rev. 36, 823 (1930); see also p. 93 of “Noise and Stochastic Processes”, (Ed. N. Wax), Dover, New York (1954).Google Scholar
  35. 33.
    See for example: Papoulis, A., Probability, Random Variables, and Stochastic Processes', McGraw-Hill, New York (1965).Google Scholar
  36. 34.
    Bonifazi, P., Ferrari, V., Frasca, S., Pallottino, G.V., Pizzella, G., Nuovo Cimento, 1C, 465, (1978).Google Scholar
  37. 35.
    Amaldi, E., Bonifazi, P., Bordoni, F., Cosmelli, C., Ferrari, V., Giovanardi, U.,, Modena, I., Pallottino, G.V., Pizzella, G., Vannaroni, G., Nuovo Cimento 1C, 241 (1978).Google Scholar
  38. 36.
    Bernat, T.P., Blair, D.G., Hamilton, W.D., Rev. Sci. Instr., 46, 582 (1975).Google Scholar
  39. 37.
    Fairbank, W.M.: Proc. of the Symposium on “Experimental Gravitation”, Pavia, 1976 (Ed. B. Bertotti), Convegni Lincei, 34, 271 (1977).Google Scholar
  40. 38 (a).
    Amaldi, E., Pizzella, G.; “The Gravitation Experiment in Rome. Progress Report”. Internal Report N. 645, Istituo di Fisica, Universita di Roma, (November 10, 1975).Google Scholar
  41. 38 (b).
    Carelli, P., Foco, A., Giovanardi, U., Modena, I., Bramanti, D., and Pizzella, G., Cryogenics, 15, 406 (1975).Google Scholar
  42. 38 (c).
    Amaldi, E., Barbanera,S., Bordoni,F., Bonifazi, P., Cerdonio, M., Cosmelli, C., Giovanardi,U., Modena,G.L., Pallottino,G.V.,.Pizzella,G., Ricci,F.F., Romani,G.L., Vannaroni,G.; Proc of the Symposium of Experimental Gravitation Pavia, 1976 (Ed.B.Bertotti), Convegni Lincei, 34, 287 (1977).Google Scholar
  43. 38 (d).
    Amaldi,E., Cosmelli,C., Giovanardi,V., Modena,I., Pallottino,G.V., Pizzella, G., Nuovo Cimento 41B, 327 (1977).Google Scholar
  44. 39.
    Amaldi,E., Bonifazi,P., Bordoni,F., Cosmelli,C., Ferrari,V., Frasca,S., Giovanardi,U., Iafolla,V., Modena,I., Pallottino,G.V., Pavan,B., Pizzella,G., Ricci,F., Ugazio,S., Vannaroni,G., Nuovo Cimento 1C, 497 (1978). See also, Amaldi,E., Bon ifazi.P.. Ferrari,V., Pallottino,G.V., iizzella,G.. “Main Features and Performance of the M = 390 kg Cryogenic Gravitational Wave Antenna.” Internal Report 724 Istituto di Fisica, Universita di Roma, (July 29, 1979).Google Scholar
  45. 40.
    Douglass,D.H., Gram,R.Q., Tyson,J.A., Lee,R.W., Phys. Rev. Lett. 35, 480 (1975)Google Scholar
  46. 41.
    Billing,H., Kafka,P., Meischberger,K., Meyer,F., Winkler,W., Lett. Nuovo Cimento 12, 111 (1975).Google Scholar
  47. 42.
    Boughn,S.P., Fairbank,W.M., Giffard,R.P., Hollenhorst, J.N., McAshan, M.S., Paik, H.J., Taber,R.C., Phs. Rev. Lett. 38, 454 (1977).Google Scholar
  48. 43.
    Davis,W., Gretz,D., Richard,J-P., Weber,J., “Development of Cryogenic Gravitatio=nal Wave Antennae at the University of Maryland”,(unpublished).Google Scholar
  49. 44.
    Paik,H.J., J. Appl. Phys. 47, 1168 (1976).Google Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • Edoardo Amaldi
    • 1
  1. 1.Universita degli Studi-RomaIstituto di Fisica “GugZieZmo Marconi”RomaItaly

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