Abstract

Using the linear theory of perturbations in General Relativity, weexpress a set of consistency relations that can be observationallytested with current and future large scale structuresurveys. We then outline a stringent model-independent program to test gravity oncosmological scales. We illustrate the feasibility of such a programby jointly using several observables like peculiar velocities, galaxyclustering and weak gravitational lensing. After addressing possible observational or astrophysicalcaveats like galaxy bias and redshift uncertainties, we forecast inparticular how well one can predict the lensing signal from a cosmicshear survey using an over-lapping galaxy survey. We finally discuss thespecific physics probed this way and illustrate how f(R) gravitymodels would fail such a test.

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