Document Type

Article

Publication Date

3-23-2021

Abstract

We continue our analysis of Newtonian Fractional-Dimension Gravity (NFDG), an extension of the standard laws of Newtonian gravity to lower dimensional spaces including those with fractional (i.e., non-integer) dimension. We apply our model to three rotationally supported galaxies: NGC 7814 (Bulge-Dominated Spiral), NGC 6503 (Disk Dominated Spiral), and NGC 3741 (Gas-Dominated Dwarf). As was done in the general cases of spherically-symmetric and axially-symmetric structures, which were studied in previous work on the subject, we examine a possible connection between NFDG and Modified Newtonian Dynamics (MOND), a leading alternative gravity model which explains the observed properties of these galaxies without requiring the Dark Matter (DM) hypothesis. In NFDG, the MOND acceleration constant a_{0}

Original Publication Citation

G. U. Varieschi, “Newtonian Fractional-Dimension Gravity and Rotationally Supported Galaxies,” Monthly Notices of the Royal Astronomical Society, vol. 503, no. 2, pp. 1915–1931, Mar. 2021, doi: 10.1093/mnras/stab433.

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