TITLE:
Revisiting Galactic Rotation Curves Given a Noncommutative-Geometry Background
AUTHORS:
Peter K. F. Kuhfittig, Vance D. Gladney
KEYWORDS:
Galactic Rotation Curves, Noncommutative Geometry
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.17,
November
27,
2014
ABSTRACT: 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.