Abstract
According to Hubble's law V=H×R the dark energy produce an acceleration a=R×H2. We use the approximation of the universe as a Minkowski flat spacetime and equations similar to those of Maxwell (GEM formalism) to calculate a lower bound to the gravitomagnetic acceleration that whole universe produce over one galaxy located at cosmological distance Z of the Milky Way. As result we find that gravitomagnetic acceleration a= 0.27×Z×H2 which implies, it can explain at least 27 percent of the dark energy effect.
