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The Brans-Dicke Theory and Its Experimental Tests

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At the Frontier of Spacetime

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 183))

Abstract

Carl Brans submitted his doctoral dissertation to the Princeton committee in May of 1961. By November, the Brans-Dicke theory was disseminated widely with the publication of a 10-page paper in Physical Review. An extension of Einstein’s general relativity, it generated great interest and was the subject of enormous effort to test its implications experimentally. We examine the history and impact of the experimental tests of this theory.

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References

  1. R.H. Dicke, New research on old gravitation. Science 129, 621 (1959)

    Article  ADS  Google Scholar 

  2. C. Brans, R.H. Dicke, Mach’s principle and a relativistic theory of gravitation. Phys. Rev. 124, 925 (1961)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. R.H. Dicke, Principle of equivalence and the weak interactions. Rev. Mod. Phys. 29, 355 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  4. R.H. Dicke, W.F. Hoffmann, R. Krotkov, Tracking and Orbit Requirements for Experiment to Detect Variations in Gravitational Constant, in Proceedings of the Second International Space Science Symposium, Florence, pp. 287–291, 10–14 April 1961

    Google Scholar 

  5. I.I. Shapiro, W.B. Smith, M.B. Ash, R.P. Ingalls, Gordon H. Pettengill, Gravitational Constant, Experimental bound on its time variation. Phys. Rev. Lett. 26, 27 (1971)

    Article  ADS  Google Scholar 

  6. A. Finzi, Test of possible variations of the gravitational constant by the observation of white dwarfs within galactic clusters. Phys. Rev. 128, 2012 (1962)

    Article  ADS  Google Scholar 

  7. R.H. Dicke, The Theoretical Significance of Experimental Relativity (Gordon and Breach, New York, 1964)

    MATH  Google Scholar 

  8. P.G. Roll, R. Krotkov, R.H. Dicke, The equivalence of inertial and passive gravitational mass. Ann. Phys. (N.Y.) 26, 442 (1964)

    Google Scholar 

  9. R.H. Dicke, in Mach’s Principle and Equivalence, ed. by C. Møller. Evidence for Gravitational Theories: Proceedings of Course 20 of the International School of Physics Enrico Fermi (Academic, New York, 1962), pp. 1-49

    Google Scholar 

  10. H. Robert, Dicke Papers, Box 4, Folder 5; Department of Rare Books and Special Collections, Princeton University Library

    Google Scholar 

  11. H. Robert, Dicke Papers, Box 5 Folder 1; Department of Rare Books and Special Collections, Princeton University Library

    Google Scholar 

  12. K. Nordtvedt Jr., The equivalence principle for massive bodies. I. Phenomenology, Phys. Rev. 169, 1014 (1968)

    Google Scholar 

  13. K. Nordtvedt Jr., The equivalence principle for massive bodies. II. Theory, Phys. Rev. 169, 1017 (1968)

    Google Scholar 

  14. K. Nordtvedt Jr., Testing relativity with laser ranging to the moon. Phys. Rev. 170, 1186 (1968)

    Article  ADS  Google Scholar 

  15. C.O. Alley, P.L. Bender, R.H. Dicke, J.E. Faller, P.A. Franken, H.H. Plotkin, D.T. Wilkinson, Optical radar using a corner reflector on the moon. J. Geophys. Res. 70, 2267 (1965)

    Article  ADS  Google Scholar 

  16. H. Robert, Dicke Papers, Box 19 Folder 17; Department of Rare Books and Special Collections, Princeton University Library

    Google Scholar 

  17. C.O. Alley et al., University of Maryland Proposal, 13 December 1965

    Google Scholar 

  18. P.L. Bender, D.G. Currie, R.H. Dicke, D.H. Eckhardt, J.E. Faller, W.M. Kaula, J.D. Mulholland, H.H. Plotkin, S.K. Poultney, E.C. Silverberg, D.T. Wilkinson, C.O. Alley, The lunar laser ranging experiment. Science 182, 229 (1973)

    Article  ADS  Google Scholar 

  19. H. Robert, Dicke Papers, Box 19 Folder 3; Department of Rare Books and Special Collections, Princeton University Library

    Google Scholar 

  20. J.G. Williams et al., New test of the equivalence principle from lunar laser ranging. Phys. Rev. Lett. 36, 551 (1976)

    Article  ADS  Google Scholar 

  21. S.M. Merkowitz, Tests of gravity using lunar laser ranging. Living Rev. Relativ. 13, 7 (2010). http://www.livingreviews.org/lrr-2010-7 (cited on 23/11/2015)

  22. Texas Mauritanian Eclipse Team, Gravitational deflection of light: solar eclipse of 30 June 1973 I. Description of procedures and final results. Astron. J. 81 (1976) 452

    Google Scholar 

  23. E.B. Fomalont, R.A. Sramek, A confirmation of Einstein’s general theory of relativity by measuring the bending of microwave radiation in the gravitational field of the Sun. Ap. J. 199, 749 (1975)

    Google Scholar 

  24. S.B. Lambert, C. Le Poncin-Lafitte, Improved determination of \(\gamma \) by VLBI. Astron. Astro- phys. 529, A70 (2011). doi:10.1051/0004-6361/201016370

    Article  ADS  Google Scholar 

  25. S. Newcomb, The Elements of the Four Inner Planets and the Fundamental Constants of Astronomy, (p. 111) Supplement to the American Ephemeris and Nautical Almanac for 1897, Government Printing Office, Washington (1895)

    Google Scholar 

  26. H. Robert, Dicke Papers, Box 33; Department of Rare Books and Special Collections, Princeton University Library

    Google Scholar 

  27. R. Weiss, Private communication (Nov. 18, 2010)

    Google Scholar 

  28. R.H. Dicke, The sun’s rotation and relativity. Nature 202, 432 (1964)

    Google Scholar 

  29. R.H. Dicke, H.M. Goldenberg, Solar oblateness and general relativity. Phys. Rev. Lett. 18, 313 (1967)

    Google Scholar 

  30. R.H. Dicke, H.M. Goldenberg, The oblateness of the sun. Astrophys. J. Supp. 27, 131 (1974)

    Article  ADS  Google Scholar 

  31. H. Robert, Dicke Papers, Box 4, Folder 2; Department of Rare Books and Special Collections, Princeton University Library

    Google Scholar 

  32. H.A. Hill, P.D. Clayton, D.L. Patz, A.W. Healy, Solar oblateness, excess brightness, and relativity. Phys. Rev. Lett. 33, 1497 (1974)

    Article  ADS  Google Scholar 

  33. N. Weiss, Solar seismology. Nature 259, 78 (1976)

    ADS  Google Scholar 

  34. J. Christensen-Dalsgaard, Helioseismology. Rev. Mod. Phys. 74, 1073 (2002)

    Google Scholar 

  35. J.R. Kuhn, K.G. Libbrecht, R.H. Dicke, Solar ellipticity fluctuations yield no evidence of g-modes. Nature 319, 128 (1986)

    Article  ADS  Google Scholar 

  36. I.I. Shapiro, A fourth test of general relativity. Phys. Rev. Lett. 13, 789 (1964)

    Google Scholar 

  37. I.I. Shapiro, G.H. Pettengill, M.E. Ash, M.L. Stone, W.B. Smith, R.P. Ingalls, R.A. Brockelman, Fourth test of general relativity: preliminary results. Phys. Rev. Lett. 20, 1265 (1968)

    Article  ADS  Google Scholar 

  38. R.D. Reasenberg et al., Viking relativity experiment—verification of signal retardation by solar gravity. Ap. J. 234, L219 (1979)

    Article  ADS  Google Scholar 

  39. L.I. Schiff, Possible new experimental test of general relativity theory. Phys Rev. Lett. 4, 215 (1960)

    Article  ADS  Google Scholar 

  40. R.F. O’Connell, Schiff’s proposed gyroscope experiment as a test of the scalar-tensor theory of general relativity. Phys. Rev. Lett. 20, 69 (1968)

    Article  ADS  Google Scholar 

  41. C.W.F. Everitt et al., Gravity probe B: final results of a space experiment to test general relativity. Phys. Rev. Lett. 106, 221101 (2011)

    Article  ADS  Google Scholar 

  42. R. Weiss, B. Block, A gravimeter to monitor the OSO mode of the earth. J. Geophys. Res. 70, 5615 (1965)

    Google Scholar 

  43. R. Weiss, Electromagetically Coupled Broadband Gravitational Antenna. Quarterly Progress Report, Research Laboratory of Electronics, MIT, vol. 105, p. 54 (1972)

    Google Scholar 

  44. http://www.ligo.org

  45. J.H. Taylor, J.M. Weisberg, A test of general relativity: gravitational radiation and the binary pulsar PSR 1913+16. Ap. J. 253, 908 (1982)

    Article  ADS  Google Scholar 

  46. P.J.E. Peebles, L.A. Page, Jr., R.B. Partridge, Finding the Big Bang (Cambridge University Press, Cambridge, 2009)

    Google Scholar 

  47. A.A. Penzias, R.W. Wilson, A measurement of excess antenna temperature at 4080 Mc/s. Ap. J. 142, 419 (1965)

    Article  ADS  Google Scholar 

  48. R.H. Dicke, P.J.E. Peebles, P.G. Roll, D.T. Wilkinson, Cosmic blackbody radiation. Ap. J. 142, 414 (1965)

    Article  ADS  Google Scholar 

  49. J.N. Bahcall, S. Neutrinos, Phys. Rev. Lett. 17, 398 (1966)

    Article  ADS  Google Scholar 

  50. C.M. Will, Theory and Experiment in Gravitational Physics, revised edn. (Cambridge University Press, Cambridge, 1993)

    Google Scholar 

  51. C.M. Will, The confrontation between general relativity and experiment. Living Rev. Relativ. 17, 4 (2014). http://www.livingreviews.org/lrr-2014-4 (cited on 23/11/2015)

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McHugh, M.P. (2016). The Brans-Dicke Theory and Its Experimental Tests. In: Asselmeyer-Maluga, T. (eds) At the Frontier of Spacetime. Fundamental Theories of Physics, vol 183. Springer, Cham. https://doi.org/10.1007/978-3-319-31299-6_9

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