2017/10/09 by Jonas Petersen, Petersen, Jonas, Mads T. Frandsen +1
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Astrophysics of Galaxies (astro-ph.GA) #FOS: Physical sciences #Geophysics and Gravity Measurements #High Energy Physics - Phenomenology (hep-ph) #Scientific Research and Discoveries #Statistical and numerical algorithms
paper · pdf · doi:10.48550/arxiv.1710.03096
openalex publication_date 2017/10/09 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
Dark Matter (DM) and Modified Newtonian Dynamics (MOND) models of\nrotationally supported galaxies lead to curves with different geometries in\n(gN,gtot)-space (g2-space). Here gtot is the total acceleration\nand gN is the acceleration as obtained from the baryonic matter via\nNewtonian dynamics. In MOND modified inertia (MI) models the curves in\ng2-space are closed with zero area and so curve segments at radii r\≥\nrN (large radii) and r< rN (small radii) coincide, where rN is\nthe radius where gN is greatest. In DM models with cored density profiles\nwhere gtot is also zero at the galactic centre, the curves are again\nclosed, but the area of the closed curves are in general non-zero because the\ncurve segments at radii r\≥ rN and r<rN do not coincide. Finally in\nDM models with cuspy density profiles such as the NFW profile where gtot\nis formally non-zero at the galactic origin the curves are open, and again the\ncurve segments at radii r\≥ rN and r< rN do not coincide. We\ndevelop a test of whether data at small and large radii coincide and\ninvestigate rotation curves from the SPARC database in order to discriminate\nbetween the above geometries. Due to loosely quantified systematic\nuncertainties we do not underline the result of the test, but instead conclude\nthat the test illustrates the relevance of this type of analysis and\ndemonstrate the ability to discriminate between the considered DM and MI models\nin this way.\n