## Discriminating Between Dark Matter and MOND via Galactic Rotation Curves

Preprint number: CP3-Origins-2017-39 DNRF90
Authors: Mads T. Frandsen (CP3-Origins) and Jonas Petersen (CP3-Origins)
Dark Matter (DM) and Modified Newtonian Dynamics (MOND) lead to different geometries for galactic rotation curves in $(g_{bar},g_{obs})$-space ($g2$-space). Here $g_{obs}$ is the total (observed) centripetal acceleration of matter in a rotationally supported galaxy and $g_{bar}$ is that from the visible (baryonic) matter distribution. DM and MOND predict closed curves, $\mathcal{C}_{DM/MOND}$, in $g2$-space where the area spanned by the DM curve is non-zero, $\mathcal{A}(\mathcal{C}_{DM})\neq 0$, whereas the area spanned by the MOND curve vanishes, $\mathcal{A}(\mathcal{C}_{MOND})=0$. Galaxies from the SPARC database\cite{SPARC} are investigated in order to determine if $\mathcal{A}(\mathcal{C}_{data})\neq 0$ in current data.