https://doi.org/10.1140/epjp/s13360-020-00831-9
Regular Article
On the Kuzmin model in fractional Newtonian gravity
1
Physics and Astronomy Department, Bishop’s University, 2600 College Street, J1M 1Z7, Sherbrooke, QC, Canada
2
Department of Mathematics, University of Bari, Via E. Orabona 4, 70126, Bari, Italy
3
The INdAM Research Group GNCS, Istituto Nazionale di Alta Matematica “Francesco Severi”, Piazzale Aldo Moro 5, 00185, Rome, Italy
Received:
18
September
2020
Accepted:
5
October
2020
Published online:
8
October
2020
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.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020
