Albert Einstein's general theory of relativity has passed a rigorous test on the scale of galaxy clusters. But the test does not rule out a popular alternative model of gravity. See Letter p.567
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Wegner, G. Gravity tested on large scales. Nature 477, 541–543 (2011). https://doi.org/10.1038/477541a
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DOI: https://doi.org/10.1038/477541a