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Foundations of Physics

, Volume 10, Issue 1–2, pp 181–184 | Cite as

Mach's principle and the relationGM=Rc2

  • H. C. Corben
This Issue Is Dedicated To The Memory Of Wolfgang Yourgrau

Abstract

The relationGM=RC2 is used as a definition ofG, withM andR defined by integrals of the energy-momentum and Einstein curvature tensors over a particular spacelike surface. Modified field equations then do not admit source-free solutions, in agreement with a strong form of Mach's principle.

Keywords

Field Equation Curvature Tensor Strong Form Spacelike Surface Modify Field Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    A. Einstein,The Meaning of Relativity, 3rd ed. (Princeton, Univ. Press, Princeton, N.J., 1950), p. 107.Google Scholar
  2. 2.
    D. W. Sciama,Mon. Not. Roy. Astr. Soc. 113, 34 (1953);The Unity of the Universe (Anchor Books, Doubleday, 1961).Google Scholar
  3. 3.
    R. H. Dicke,Rendiconti della Scuola Internazionale di Fisica ‘Enrico Fermi,’ XX Corso (Academic Press, 1962), pp. 1–49.Google Scholar
  4. 4.
    C. H. Brans and R. H. Dicke,Phys. Rev. 124, 925 (1961).Google Scholar
  5. 5.
    P. Morrison, inBeyond the Edge of Certainty, R. G. Colodny, ed. (Prentice-Hall, 1965), p.130.Google Scholar
  6. 6.
    F. A. Kaempffer,Can. J. Phys. 36, 151 (1958).Google Scholar
  7. 7.
    J. F. Woodward, R. J. Crowley, and W. Yourgrau,Phys. Rev. D 11, 1371 (1975).Google Scholar
  8. 8.
    J. C. Graves,The Conceptual Foundations of Contemporary Relativity Theory (MIT Press, 1971), p. 302.Google Scholar
  9. 9.
    A. Taub,Ann. Math. 53, 472 (1951).Google Scholar
  10. 10.
    D. R. Brill,Ann. Phys. 7, 466 (1959).Google Scholar
  11. 11.
    J. Callaway,Phys. Rev. 96, 778 (1954).Google Scholar
  12. 12.
    H. P. Robertson,Astro. J. 82, 284 (1935).Google Scholar
  13. 13.
    A. G. Walker,Quart. J. Math. (Oxford) 6, 81 (1935).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • H. C. Corben
    • 1
  1. 1.Harvey Mudd CollegeClaremont

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