According to this Preprintpreprint, https://arxiv.org/abs/2405.04933The Importance of Being Symmetric: Flat Rotation Curves from Exact Axisymmetric Static Vacuum Spacetimes, spiral galaxies possess flat rotation curves without assuming Dark Matter. But this is in contrast to the power spectrum of the microwave background where the second and the third peak are being considered to proof the existence of Dark Matter.
But if true, isn't it a paradoxal situation such as Dark Matter exists and thus forms a halo around spiral galaxies not required, however, because the rotation curves are flat without it?
What do you think about that? I appreciate any suggestions.