Abstract
It is shown that, given any static solution of the Einstein vacuum equations, a corresponding family of static vacuum solutions of the Brans-Dicke equations can be written down by inspection. Spherically and axially symmetric fields are considered explicitly. It is demonstrated how some solutions of the Brans-Dicke equations may be obtained without having to solve any field equations explicitly at all.
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Buchdahl, H.A. Static solutions of the Brans-Dicke equations. Int J Theor Phys 6, 407–412 (1972). https://doi.org/10.1007/BF01258735
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DOI: https://doi.org/10.1007/BF01258735