论文标题
在牛顿分数重力的Kuzmin模型上
On the Kuzmin model in fractional Newtonian gravity
论文作者
论文摘要
基于牛顿重力方程的分数概括，牛顿的分数重力是一种新型的银河动力学方法，旨在通过牛顿理论的非局部修改来提供暗物质范式的替代方法。我们对这种新方法中Kuzmin磁盘的引力潜力进行了深入的讨论。具体而言，我们得出了电势的积分和串联表示，我们在大尺度上验证了其渐近行为，并提供了所得等电位表面的照明图。
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.
