Interpretation of galaxy rotation curves from primordial black holes in 4D Einstein-Gauss-Bonnet gravity

We develop a novel approach to the dark matter halos in the context of 4 dimensional Einstein--scalar-Gauss-Bonnet gravity to reproduce the flat rotation curves of galaxies. Moreover, the Gauss-Bonnet coupling describes the interior structure of the galaxies, while there is a presence of a scalar field $\phi$ in the galaxy edges. This can provide an interesting interpretation for the functional coupling $f(\phi )$. We discuss how this comparison can naturally drive the observed percentages of matter and dark matter in the Universe. The effective mass range\ in our model is $$, which is in good agreement with the constraints on primordial black holes.