RT Journal Article T1 Elongated gravity sources as an analytical limit for flat galaxy rotation curves A1 Llanes Estrada, Felipe José AB The flattening of spiral-galaxy rotation curves is unnatural in view of the expectations from Kepler's third law and a central mass. It is interesting, however, that the radius-independence velocity is what one expects in one less dimension. In our three-dimensional space, the rotation curve is natural if, outside the galaxy's center, the gravitational potential corresponds to that of a very prolate ellipsoid, filament, string, or otherwise cylindrical structure perpendicular to the galactic plane. While there is observational evidence (and numerical simulations) for filamentary structure at large scales, this has not been discussed at scales commensurable with galactic sizes. If, nevertheless, the hypothesis is tentatively adopted, the scaling exponent of the baryonic Tully-Fisher relation due to accretion of visible matter by the halo comes out to reasonably be 4. At a minimum, this analytical limit would suggest that simulations yielding prolate haloes would provide a better overall fit to small-scale galaxy data. PB MDPI SN 2218-1997 YR 2021 FD 2021-09 LK https://hdl.handle.net/20.500.14352/4494 UL https://hdl.handle.net/20.500.14352/4494 LA eng NO © 2021 MDPIWork supported with funding by grant MINECO: FPA2016-75654-C2-1-P (Spain); MICINN grants PID2019-108655GB-I00, -106080GB-C21; and Univ. Complutense de Madrid under research group 910309 and the IPARCOS institute. NO Ministerio de Economía y Competitividad (MINECO) NO Ministerio de Ciencia e Innovación (MICINN) NO Universidad Complutense de Madrid DS Docta Complutense RD 30 abr 2024