International Journal of Theoretical Physics

, Volume 11, Issue 5, pp 353–356

Common solutions of the einstein and Brans-Dicke theories

  • B. O. J. Tupper
Article

Abstract

It is shown that non-trivial solutions common to the vacuum field equations of the Einstein and of the Brans-Dicke theories necessarily representpp-waves and the set of all common solutions is precisely the set of allpp-wave solutions of the Einstein equations. The form of the associated scalar field is found and is shown to be singular when ω<−1.

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References

  1. Brans, C. and Dicke, R. H. (1961).Physical Review,124, 925.Google Scholar
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  3. Horndeski, G. W. (1973). Ph.D. Thesis, University of Waterloo.Google Scholar
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Copyright information

© Plenum Publishing Company Limited 1974

Authors and Affiliations

  • B. O. J. Tupper
    • 1
  1. 1.Department of MathematicsUniversity of New BrunswickFrederictonCanada

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