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We propose a simple geometrical mechanism for the flattening of galacticrotation curves, the local compression of field lines around their planesinduced either by the presence of thin string-like objects at the centers ofgalaxies or by elongated dark-matter halos, and elaborate on its possible rolein Nature. We fit 83 rotation curves from the SPARC database with logarithmicpotentials produced by a thin "wire" at the origin and then, after selecting 2galaxies that yield the most interesting fits, analyze them with an alternativemodel, deformed versions of two popular models of dark-matter halos. Ourconclusion is that the presence of a filament clearly improves the fit qualityin a number of cases, while bulged dark matter profiles have a lesser effect.If taken at face value, these results would imply the presence of elongatedmass distributions away from the galactic plane in a number of galaxies, andmay also have some indirect impact on the controversy between cold dark matter(CDM), self-interacting dark matter (SiDM), and modified Newtonian dynamics(MOND).

On Filaments, Prolate Halos and Rotation Curves