A Toy Model for the Dynamical Discrepancies on Galactic Scales

Abstract

In this study a simple toy model solution to the missing gravity problem on galactic scales is reverse engineered from galactic data via imposing broad assumptions. It is shown that the toy model solution can be written in terms of baryonic quantities, is highly similar to pseudo-isothermal dark matter on galactic scales and can accommodate the same observations. In this way, the toy model solution is similar to MOND modified gravity in the Bekenstein-Milgrom formulation. However, it differs in the similarity to pseudo-isothermal dark matter and in the functional form. In loose terms, it is shown that pseudo-isothermal dark matter can be written in terms of baryonic quantities. The required form suggests that it may be worth looking into a mechanism that can increase the magnitude of the post-Newtonian correction from general relativity for low accelerations.

arXiv comment5 pages, 2 figures

References in corpus (23)

• A direct empirical proof of the existence of dark matter
• SPARC: Mass Models for 175 Disk Galaxies with Spitzer Photometry and Accurate Rotation Curves
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• Clusters of galaxies with modified Newtonian dynamics (MOND)
• Fitting the radial acceleration relation to individual SPARC galaxies
• Testing Modified Newtonian Dynamics with Low Surface Brightness Galaxies --Rotation curve fits-
• Can Cosmic Structure form without Dark Matter?
• Confrontation of MOND with the rotation curves of early-type disc galaxies
• Absence of a fundamental acceleration scale in galaxies
• Phenomenological consequences of superfluid dark matter with baryon-phonon coupling
• A common Milgromian acceleration scale in nature
• Gravitational wave as probe of superfluid dark matter
• Is there a fundamental acceleration scale in galaxies?
• The prediction of rotation curves in gas-dominated dwarf galaxies with modified dynamics
• Reply to "Presence of a fundamental acceleration scale in galaxies" and "A common Milgromian acceleration scale in nature"
• Modified Dark Matter: Relating Dark Energy, Dark Matter and Baryonic Matter
• Radial acceleration relation and dissipative dark matter
• Halo Acceleration Relation
• Can $\Lambda$CDM model reproduce MOND-like behavior?
• Investigating Dark Matter and MOND Models with Galactic Rotation Curve Data
• Investigating Dark Matter and MOND Models with Galactic Rotation Curve Data: Analysing the Gas-Dominated Galaxies
• A Method for Discriminating Between Dark Matter Models and MOND Modified Inertia via Galactic Rotation Curves

Cited by in corpus (1)

• Newtonian Fractional-Dimension Gravity and the External Field Effect