在非对易几何背景下再访银河系自转曲线
Revisiting galactic rotation curves given a noncommutative-geometry background
摘要：
拉哈曼等人在早些时候指出，非对易几何背景可以解释银河系的自转曲线，而不需要暗物质。涂抹效应的特点，非交换几何描述的高斯分布，旨在取代狄拉克δ函数的装置。本文的目的有两个：（1）通过用Nozari和Mehdipour提出的更简单的洛伦兹分布代替高斯函数，以一种更透明和直观更吸引人的方式来解释银河系的旋转曲线;（2）表明涂抹效应是满足稳定性判据的充分必要条件。
英文摘要：
It was shown earlier by Rahaman et al. that a noncommutative-geometry background can account for galactic rotation curves without the need for dark matter. The smearing effect that characterizes noncommutative geometry is described by means of a Gaussian distribution intended to replace the Dirac delta function. The purpose of this paper is two-fold: (1) to account for the galactic rotation curves in a more transparent and intuitively more appealing way by replacing the Gaussian function by the simpler Lorentzian distribution proposed by Nozari and Mehdipour and (2) to show that the smearing effect is both a necessary and sufficient condition for meeting the stability criterion.
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