  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.
