For hyperbolic binaries, a conformally coupled scalar changes the memory and zero-frequency power while a disformally coupled scalar changes only the center-of-mass kick.
Gravitational memory effects in Brans-Dicke theory
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abstract
There exist gravitational memory effects in Brans-Dicke theory. They are closely related to the Bondi-Metzner-Sachs symmetries living on the null infinity in an isolated system. By studying the asymptotically flat spacetime in Brans-Dicke theory and the asymptotic symmetries, one discovers that the displacement memory effect in the tensor sector is due to the vacuum transition caused by the null energy fluxes panetrating the null infinity, while in the scalar sector, the vacuum transition is due to the angular momentum fluxes. Together with the spin and the center-of-mass memory effects, the displacement memories are constrained by various flux-balance laws.
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Scalar kicks and memory
For hyperbolic binaries, a conformally coupled scalar changes the memory and zero-frequency power while a disformally coupled scalar changes only the center-of-mass kick.