Cosmic growth of large scale structure probes the entire history of cosmic expansion and gravitational coupling.
To get a clear picture of the effects of modification of gravity we consider a deviation in the coupling strength (effective Newton's constant) at different redshifts, with different durations and amplitudes.
We derive, analytically and numerically, the impact on the growth rate and growth amplitude.
Galaxy redshift surveys can measure a product of these through redshift space distortions and we connect the modified gravity to the observable in a way that may provide a useful parametrization of the ability of future surveys to test gravity.
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