Revisiting Galactic Rotation Curves Given a Noncommutative-Geometry Background

• 作者: Peter K. F. Kuhfittig Vance D. Gladney
• 来源期刊: 现代物理(英文)
• 学科: 地球科学
• 关键词: GALACTIC ROTATION CURVES NONCOMMUTATIVE GEOMETRY
• 年，卷（期）: 2014,（17）
• 页码范围: 1931-1937
• 页数: 7页
• 分类号: P1

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.