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Although general relativity underlies modern cosmology, its applicability oncosmological length scales has yet to be stringently tested. Such a test hasrecently been proposed, using a quantity, EG, that combines measures oflarge-scale gravitational lensing, galaxy clustering and structure growth rate.The combination is insensitive to 'galaxy bias' (the difference between theclustering of visible galaxies and invisible dark matter) and is thus robust tothe uncertainty in this parameter. Modified theories of gravity generallypredict values of EG different from the general relativistic predictionbecause, in these theories, the 'gravitational slip' (the difference betweenthe two potentials that describe perturbations in the gravitational metric) isnon-zero, which leads to changes in the growth of structure and the strength ofthe gravitational lensing effect3. Here we report that EG = 0.39 +/- 0.06 onlength scales of tens of megaparsecs, in agreement with the generalrelativistic prediction of EG $\approx$ 0.4. The measured value excludes amodel within the tensor-vector-scalar gravity theory, which modifies bothNewtonian and Einstein gravity. However, the relatively large uncertainty stillpermits models within f(R) theory, which is an extension of general relativity.A fivefold decrease in uncertainty is needed to rule out these models.

Confirmation of general relativity on large scales from weak lensing and galaxy velocities