Linearized Horndeski theory with a scalar potential yields Yukawa-type corrections to Solar-System observables that reduce to GR in heavy-scalar or large-coupling limits, with residual curvature terms from the potential minimum.
They arise from the difference in the effective gravitational potential generated by the central mass, evaluated between the emission point r and the observation pointr 0
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Linearized Horndeski Theory with a Potential in the Solar System Regime
Linearized Horndeski theory with a scalar potential yields Yukawa-type corrections to Solar-System observables that reduce to GR in heavy-scalar or large-coupling limits, with residual curvature terms from the potential minimum.