Abstract
It is shown that a stationary space containing a black hole is a solution of the Brans-Dicke field equations if and only if it is a solution of the Einstein field equations. This implies that when the star collapses to form a black hole, it loses that fraction (about 7%) of its measured gravitational mass that arises from the scalar interaction. This mass loss is in addition to that caused by emission of scalar or tensor gravitational radiation. Another consequence is that there will not be any scalar gravitational radiation emitted when two black holes collide.
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Hawking, S.W. Black holes in the Brans-Dicke. Commun.Math. Phys. 25, 167–171 (1972). https://doi.org/10.1007/BF01877518
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DOI: https://doi.org/10.1007/BF01877518