The Jebsen-Birkhoff theorem in alternative gravity
General Relativity and Quantum Cosmology
2010-04-06 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
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.
Cite
@article{arxiv.1001.2287,
title = {The Jebsen-Birkhoff theorem in alternative gravity},
author = {Valerio Faraoni},
journal= {arXiv preprint arXiv:1001.2287},
year = {2010}
}
Comments
10 pages, no figures, to appear in Phys. Rev. D