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The Brans-Dicke theory of gravity is one of the oldest ideas to extendgeneral relativity by introducing a non-minimal coupling between the scalarfield and gravity. The Solar System tests put tight constraints on the theory.In order to evade these constraints, various screening mechanisms have beenproposed. These screening mechanisms allow the scalar field to couple to matteras strongly as gravity in low density environments while suppressing it in theSolar System. The Vainshtein mechanism, which is found in various modifiedgravity models such as massive gravity, braneworld models and scalar tensortheories, suppresses the scalar field efficiently in the vicinity of a massiveobject. This makes it difficult to test these theories from gravitational waveobservations. We point out that the recently found scalar gravitational wavememory effect, which is caused by a permanent change in spacetime geometry dueto the collapse of a star to a back hole can be significantly enhanced in theBrans-Dicke theory of gravity with the Vainshtein mechanism. This provides apossibility to detect scalar gravitational waves by a network of three or moregravitational wave detectors.

Testing Brans-Dicke Gravity with Screening by Scalar Gravitational Wave Memory