Galactic dark matter effects from purely geometrical aspects of general relativity

We study disk galaxies in the framework of general relativity to focus on possibility that, even low energy limit, there are relevant corrections with respect purely Newtonian approach. Our analysis encompasses model by considering both a expansion and exact solutions, making clear connection between these different approaches. In particular, we two limits: well-known gravitomagnetic analogy new called ``strong gravitomagnetism,'' which has $c$ same order as terms. show that limits class solutions can account for observed flat velocity profile, is contrary what happens using models, where dark matter contribution required. Hence, suggest geometrical origin certain amount effects.