A Cusp-Core like challenge for Modified Newtonian Dynamics

Mikkel H. Eriksen, Mads T. Frandsen, Mogens H. From

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Abstract

We show that Modified Newtonian Dynamics (MOND) predict distinct galactic acceleration curve geometries in $g2$-space - the space of total observed centripetal accelerations $g_{\rm tot}$ vs the inferred Newtonian acceleration from baryonic matter $g_{\rm N}$ - and corresponding rotation speed curves: MOND modified gravity predicts cored geometries for isolated galaxies while MOND modified inertia yields neutral geometries, ie. neither cuspy or cored, based on a cusp-core classification of galaxy rotation curve geometry in $g2$-space - rather than on inferred DM density profiles. The classification can be applied both to DM and modified gravity models as well as data and implies a {\it cusp-core} challenge for MOND from observations, for example of cuspy galaxies, which is different from the so-called cusp-core problem of dark matter (DM). We illustrate this challenge by a number of cuspy and also cored galaxies from the SPARC rotation curve database, which deviate significantly from the MOND modified gravity and MOND modified inertia predictions.
Original languageEnglish
JournalMonthly Notices of the Royal Astronomical Society
ISSN0035-8711
Publication statusIn preparation - 18. Jun 2019

Keywords

  • astro-ph.GA

Cite this

Eriksen, M. H., Frandsen, M. T., & From, M. H. (2019). A Cusp-Core like challenge for Modified Newtonian Dynamics. Manuscript in preparation.