, Volume 11, Issue 5, pp 353-356

Common solutions of the einstein and Brans-Dicke theories

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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.