Can the relativistic field theory version of modified Newtonian dynamics avoid dark matter on galactic scales

A fully relativistic analysis of gravitational lensing in tensor-vector-scalar (TeVeS) theory is presented. By estimating the lensing masses for a set of six lenses from the CASTLES database, and then comparing them to the stellar mass, the deficit between the two is obtained and analyzed. Considering a parametrized range for the TeVeS function {mu}(y), which controls the strength of the modification to gravity, it is found that on galactic scales TeVeS requires additional dark matter with the commonly used {mu}(y). A soft dependence of the results on the cosmological framework and the TeVeS free parameters is discussed. For one particular form of {mu}(y), TeVeS is found to require very little dark matter. This choice is however ruled out by rotation curve data. The inability to simultaneously fit lensing and rotation curves for a single form of {mu}(y) is a challenge to a no dark matter TeVeS proposal.

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