Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves

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 natu...

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Main Author: Felipe J. Llanes-Estrada
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/7/9/346
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author Felipe J. Llanes-Estrada
author_facet Felipe J. Llanes-Estrada
author_sort Felipe J. Llanes-Estrada
collection DOAJ
description 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.
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spelling doaj.art-77f4903b3f1c4970b0b88c4d2b9329982023-11-22T15:33:12ZengMDPI AGUniverse2218-19972021-09-017934610.3390/universe7090346Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation CurvesFelipe J. Llanes-Estrada0Departamento de Física Teórica and IPARCOS, Institute for Particle and Cosmological Physics, Universidad Complutense de Madrid, 28040 Madrid, SpainThe 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.https://www.mdpi.com/2218-1997/7/9/346galactic rotationnonspherical gravitational sourcesmodified gravity
spellingShingle Felipe J. Llanes-Estrada
Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves
Universe
galactic rotation
nonspherical gravitational sources
modified gravity
title Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves
title_full Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves
title_fullStr Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves
title_full_unstemmed Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves
title_short Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves
title_sort elongated gravity sources as an analytical limit for flat galaxy rotation curves
topic galactic rotation
nonspherical gravitational sources
modified gravity
url https://www.mdpi.com/2218-1997/7/9/346
work_keys_str_mv AT felipejllanesestrada elongatedgravitysourcesasananalyticallimitforflatgalaxyrotationcurves