An Einstein field equations solution predicting large and dwarf galaxies rotation velocity.

However, the motion equation is non-linear versus the density due the presence of a slowing term intrinsically originating from the Einstein field equations. The solution correctly predicts the total mass and rotation velocity of the three large galaxies and of the dwarf galaxy M33 as well. The model predicts the presence of an ultra-high dense central core in all galaxies.

Furthermore, it also predicts an extended stellar halo in M33, which was recently observed using the Subaru Telescope / Hyper Suprime-Cam. This model overcomes the core-cusp issue observed in dwarf galaxy when using the dark matter halo thesis in Newtonian dynamics and avoids the introduction of an additional physical constant as in MOND.