The Jebsen-Birkhoff theorem in alternative gravity
classification
🌀 gr-qc
astro-ph.COhep-th
keywords
gravitytheoremjebsen-birkhoffscalar-tensoralternativeapparentappliedblack
read the original 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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