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Model-independent parametrisations of modified gravity have attracted a lotof attention over the past few years and numerous combinations of experimentsand observables have been suggested to constrain the parameters used in thesemodels. Galaxy clusters have been mentioned, but not looked at as extensivelyin the literature as some other probes. Here we look at adding galaxy clustersinto the mix of observables and examine how they could improve the constraintson the modified gravity parameters. In particular, we forecast the constraintsfrom combining Planck satellite Cosmic Microwave Background (CMB) measurementsand Sunyaev-Zeldovich (SZ) cluster catalogue with a DES-like weak lensingsurvey. We find that cluster counts significantly improve the constraints overthose derived using CMB and WL. We then look at surveys further into thefuture, to see how much better it may be feasible to make the constraints.

Testing model independent modified gravity with future large scale surveys