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arXiv · 1801.00804

Revisiting the analogue of the Jebsen-Birkhoff theorem in Brans-Dicke gravity

Valerio Faraoni·Faycal Hammad·Adriana M. Cardini·Thomas Gobeil
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Abstract

We report the explicit form of the general static, spherically symmetric, and asymptotically flat solution of vacuum Brans-Dicke gravity in the Jordan frame, assuming that the Brans-Dicke scalar field has no singularities or zeros (except possibly for a central singularity). This general solution is conformal to the Fisher-Wyman geometry of Einstein theory and its nature depends on a scalar charge parameter. Apart from the Schwarzschild black hole, only wormhole throats and central naked singularities are possible

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Valerio Faraoni, Faycal Hammad, Adriana M. Cardini, Thomas Gobeil. 2018-01-02. Revisiting the analogue of the Jebsen-Birkhoff theorem in Brans-Dicke gravity. https://doi.org/10.1103/physrevd.97.084033

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