Abstract
We discuss the validity, or lack thereof, of the Jebsen-Birkhoff theorem in scalar-tensor theories by generalizing it and regarding the Brans-Dicke-like scalar as effective matter. Both the Jordan and Einstein frames are discussed and an apparent contradiction between static spherical solutions of scalar-tensor gravity and Hawking’s theorem on Brans-Dicke black holes is clarified. The results are applied to metric and Palatini gravity.
- Received 18 December 2009
DOI:https://doi.org/10.1103/PhysRevD.81.044002
©2010 American Physical Society