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

DOI: 10.1007/BF01808090

Cite this article as:
Tupper, B.O.J. Int J Theor Phys (1974) 11: 353. doi:10.1007/BF01808090


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.

Copyright information

© Plenum Publishing Company Limited 1974

Authors and Affiliations

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