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arXiv · 1001.2287

The Jebsen-Birkhoff theorem in alternative gravity

Valerio Faraoni
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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.

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Valerio Faraoni. 2010-01-13. The Jebsen-Birkhoff theorem in alternative gravity. https://doi.org/10.1103/physrevd.81.044002

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