Abstract
In superfluid dark matter the exchange of phonons can create an additional
force that has an effect similar to Modified Newtonian Dynamics (MOND). To test
whether this hypothesis is compatible with observation, we study a set of
strong gravitational lenses from the SLACS survey and check whether the
measurements can be explained by a superfluid in the central region of
galaxies. Concretely, we try to simultaneously fit each lens's Einstein radius
and velocity dispersion with a spherically symmetric density profile of a fluid
that has both a normal and a superfluid component. We demonstrate that we can
successfully fit all galaxies except one, and that the fits have reasonable
stellar mass-to-light-ratios. We conclude that strong gravitational lensing
does not pose a challenge for the idea that superfluid dark matter mimics
modified gravity.
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