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arXiv · 2009.04335

On the Kuzmin model in fractional Newtonian gravity

Andrea Giusti·Roberto Garrappa·Geneviève Vachon
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Abstract

Fractional Newtonian gravity, based on the fractional generalization of Poisson's equation for Newtonian gravity, is a novel approach to Galactic dynamics aimed at providing an alternative to the dark matter paradigm through a non-local modification of Newton's theory. We provide an in-depth discussion of the gravitational potential for the Kuzmin disk within this new approach. Specifically, we derive an integral and a series representation for the potential, we verify its asymptotic behavior at large scales, and we provide illuminating plots of the resulting equipotential surfaces.

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Andrea Giusti, Roberto Garrappa, Geneviève Vachon. 2020-09-09. On the Kuzmin model in fractional Newtonian gravity. https://doi.org/10.1140/epjp/s13360-020-00831-9

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