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We investigate a recent claim that observed galaxy clusters produce an orderof magnitude more galaxy-galaxy strong lensing (GGSL) than simulated clustersin a LCDM cosmology. We take galaxy clusters from the C-EAGLE hydrodynamicalsimulations and calculate the expected amount of GGSL for sources placed behindthe clusters at different redshifts. The probability of a source lensed by oneof the most massive C-EAGLE clusters being multiply imaged by an individualcluster member is in good agreement with that inferred for observed clusters.We show that numerically converged results for the GGSL probability requirehigher resolution simulations than had been used previously. On top of this,different galaxy formation models predict cluster substructures with differentcentral densities, such that the GGSL probabilities in LCDM cannot yet berobustly predicted. Overall, we find that galaxy-galaxy strong lensing withinclusters is not currently in tension with the LCDM cosmological model.

The galaxy-galaxy strong lensing cross-sections of simulated LCDM galaxy clusters