The Jebsen-Birkhoff theorem in alternative gravity

Details The Jebsen-Birkhoff theorem in alternative gravity The Jebsen-Birkhoff theorem in alternative gravity

2010-01-13

arxiv.org/abs/1001.2287v1

Phys.Rev.D81:044002,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, no figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.81.044002

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.

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