Mach's principle and the relationGM=Rc2
This Issue Is Dedicated To The Memory Of Wolfgang Yourgrau
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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
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References
- 1.A. Einstein,The Meaning of Relativity, 3rd ed. (Princeton, Univ. Press, Princeton, N.J., 1950), p. 107.Google Scholar
- 2.D. W. Sciama,Mon. Not. Roy. Astr. Soc. 113, 34 (1953);The Unity of the Universe (Anchor Books, Doubleday, 1961).Google Scholar
- 3.R. H. Dicke,Rendiconti della Scuola Internazionale di Fisica ‘Enrico Fermi,’ XX Corso (Academic Press, 1962), pp. 1–49.Google Scholar
- 4.C. H. Brans and R. H. Dicke,Phys. Rev. 124, 925 (1961).Google Scholar
- 5.P. Morrison, inBeyond the Edge of Certainty, R. G. Colodny, ed. (Prentice-Hall, 1965), p.130.Google Scholar
- 6.F. A. Kaempffer,Can. J. Phys. 36, 151 (1958).Google Scholar
- 7.J. F. Woodward, R. J. Crowley, and W. Yourgrau,Phys. Rev. D 11, 1371 (1975).Google Scholar
- 8.J. C. Graves,The Conceptual Foundations of Contemporary Relativity Theory (MIT Press, 1971), p. 302.Google Scholar
- 9.A. Taub,Ann. Math. 53, 472 (1951).Google Scholar
- 10.D. R. Brill,Ann. Phys. 7, 466 (1959).Google Scholar
- 11.J. Callaway,Phys. Rev. 96, 778 (1954).Google Scholar
- 12.H. P. Robertson,Astro. J. 82, 284 (1935).Google Scholar
- 13.A. G. Walker,Quart. J. Math. (Oxford) 6, 81 (1935).Google Scholar
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