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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Tupper, B.O.J. Common solutions of the einstein and Brans-Dicke theories. Int J Theor Phys 11, 353–356 (1974). https://doi.org/10.1007/BF01808090
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DOI: https://doi.org/10.1007/BF01808090