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Aims: Recently, cosmological fast radio bursts (FRBs) have been used toprovide the most stringent limit up to date on Einstein's Equivalence Principle(EEP). We study how to further test EEP with FRBs. Methods: Future systematicradio surveys will certainly find abundant FRBs at cosmological distances andsome of them will inevitably be located behind clusters of galaxies. Here wesuggest to use those FRBs to further test EEP. Results: We find that therobustness and accuracy of testing EEP can be improved further by orders ofmagnitude with these FRBs. The same methodology can also be applied to anyother types of fast and bright transients at cosmological distances.

Testing Einstein's Equivalence Principle with Cosmological Fast Radio Bursts behind Clusters of Galaxies