  Superfluid dark matter (SFDM) is a model that promises to reproduce the
successes of both particle dark matter on cosmological scales and those of
Modified Newtonian Dynamics (MOND) on galactic scales. SFDM reproduces MOND
only up to a certain distance from the galactic center, and only for kinematic
observables: It does not affect trajectories of light. We test whether this is
consistent with a recent analysis of weak gravitational lensing that has probed
accelerations around galaxies to unprecedentedly large radii. This analysis
found the data to be close to the prediction of MOND, suggesting they might be
difficult to fit with SFDM. To investigate this matter, we solved the equations
of motion of the model and compared the result to observational data. Our
results show that the SFDM model is incompatible with the weak-lensing
observations, at least in its current form.

Astrophysics of Galaxies