<<http://xxx.lanl.gov/abs/astro-ph/0507619>>

General Relativity Resolves Galactic Rotation Without Exotic Dark
Matter 


A galaxy is modeled as a stationary axially symmetric pressure-free
fluid in general relativity. For the weak gravitational fields under
consideration, the field equations and the equations of motion
ultimately lead to one linear and one nonlinear equation relating the
angular velocity to the fluid density. It is shown that the rotation
curves for the Milky Way, NGC 3031, NGC 3198 and NGC 7331 are
consistent with the mass density distributions of the visible matter
concentrated in flattened disks. Thus the need for a massive halo of
exotic dark matter is removed. For these galaxies we determine the mass
density for the luminous threshold as 10^{-21.75} kg.m$^{-3}. 

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