The Jebsen-Birkhoff theorem in alternative gravity
arXiv:1001.2287 · doi:10.1103/PhysRevD.81.044002
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 f(R) gravity.
10 pages, no figures, to appear in Phys. Rev. D