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

Understand

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