Common Solutions of the Einstein and Brans-Dicke Theories
Abstract
It is shown that non-trivial solutions common to the vacuum field equations of the Einstein and of the Brans-Dicke theories necessarily represent pp-waves and the set of all common solutions is precisely the set of all pp-wave solutions of the Einstein equations. The form of the associated scalar field is found and is shown to be singular when ω<-1.
- Publication:
-
International Journal of Theoretical Physics
- Pub Date:
- December 1974
- DOI:
- 10.1007/BF01808090
- Bibcode:
- 1974IJTP...11..353T