On the Kuzmin model in fractional Newtonian gravity
arXiv:2009.04335 · doi:10.1140/epjp/s13360-020-00831-9
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.
arXiv comment13 pages, 8 figures, published in EPJ Plus
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- Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves
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- Fractional Particle and Sigma Model
- Isothermal spheres in general relativity and Horava-type gravity
- Relativistic Fractional-Dimension Gravity