Gravity and the Tenacious Scalar Field

  • Carl H. Brans


Scalar fields have had a long and controversial life in gravity theories, having progressed through many deaths and resurrections. The first scientific gravity theory, Newton’s, was that of a scalar potential field, so it was natural for Einstein and others to consider the possibility of incorporating gravity into special relativity as a scalar theory. This effort, though fruitless in its original intent, nevertheless was useful in leading the way to Einstein’s general relativity, a purely two-tensor field theory. However, a universally coupled scalar field again appeared, both in the context of Dirac’s large number hypothesis and in 5-dimensional unified field theories as studied by Fierz, Jordan, and others. While later experimentation seems to indicate that if such a scalar exists its influence on solar system--size interactions is negligible, other reincarnations have been proposed under the guise of dilatons in string theory and inflatons in cosmology. This paper presents a brief overview of this history.


Scalar Field Gravitational Field Special Relativity Massless Scalar Field Weak Equivalence Principle 
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  1. [1]
    John D. Norton, Archive for History of Exact Science, 45, 17 (1992).MathSciNetADSMATHCrossRefGoogle Scholar
  2. [2]
    Albert Einstein, quotation excerpted from Norton’s article, preceding reference.Google Scholar
  3. [3]
    Gunnar Nordström, Annalen der Physik, 40, 856 (1913).ADSMATHCrossRefGoogle Scholar
  4. [4]
    Christopher Ray, The Evolution of Relativity (Adam Hilger, Bristol and Philadelphia, 1987).MATHGoogle Scholar
  5. [5]
    Albert Einstein and Adriaan Fokker, Annalen der Physik, 44, 321 (1914).ADSMATHCrossRefGoogle Scholar
  6. [6]
    Thomas Appelquist, Alan Chodos, Peter G. O. Freund, Modern Kaluza-Klein Theories (Addison-Wesley, Reading, MA, 1987).MATHGoogle Scholar
  7. [7]
    Th. Kaluza, Sitz. d. Preuss. Akad. d. Wiss., Physik.-Mat. Klasse, 966 (1921).Google Scholar
  8. [8]
    P. A. M. DiracProc. Roy. Soc. A165, 199 (1938).ADSGoogle Scholar
  9. [9]
    V. Canuto, P. J. Adams, S. H. Hsieh, E. Tsiang, Phys. Rev. D16, 1643 (1977).MathSciNetADSGoogle Scholar
  10. [10]
    Pascual Jordan, Schwerkraft und Weltall, (Vieweg Braunschweig, 1955).MATHGoogle Scholar
  11. [11]
    C. H. Brans and R. H. Dicke, Phys. Rev. 124 925 (1961).MathSciNetADSMATHCrossRefGoogle Scholar
  12. [12]
    Dennis Sciama, Mon. Not. Roy. Ast. Soc. 113, 34 (1953).MathSciNetADSMATHGoogle Scholar
  13. [13]
    Engelbert Schücking, Zeit. f Physik 148, 72 (1957).ADSMATHCrossRefGoogle Scholar
  14. [14]
    Clifford M. Will, Theory and Experiment in Gravitational Physics, rev. ed. (Cambridge University Press, Cambridge, 1993).Google Scholar
  15. [15]
    T. Damour and K. Nordtvedt, Phys. Rev. D48, 3436 (1993).MathSciNetADSGoogle Scholar
  16. [16]
    Michael B. Green, John H. Schwarz, Edward Witten, Superstring Theory (Cambridge University Press, Cambridge, 1987).Google Scholar
  17. [17]
    P. J. E. Peebles, Physical Cosmology (Princeton University Press, Princeton, 1993).Google Scholar
  18. [18]
    A. Linde, Particle Physics and Inflationary Cosmology (Harwood, London, 1990).Google Scholar
  19. [19]
    A. Guth, Phys. Rev. D23 347 (1981).ADSGoogle Scholar

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© Springer Science+Business Media New York 1999

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  • Carl H. Brans

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