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We briefly present the theoretical basis for evaluating the bending of light in a theory of gravity with a Renormalization Group (RG) correction to the gravitational coupling G, which induces a correction to the cosmological constant χ. In particular, spherically symmetric solutions are evaluated in detail. We have shown in previous publications that the effect of such a correction may be significant to the dynamics of astrophysical systems, and may in particular mimic at least a significant part of the kinematical effects of dark matter in galaxies in great precision. Here we show that these RG effects can also influence the bending of light, but in a form different from standard dark matter. To better evaluate the amount of dark matter needed in this approach, considering data from galaxy-galaxy lensing, more detailed cosmological evaluation of the model is still in need.
Rodrigues et al. (Thu,) studied this question.