Significance of Gravitational Nonlinearities on the Dynamics of Disk
  Galaxies
  The discrepancy between the visible mass in galaxies or galaxy clusters, and
that inferred from their dynamics is well known. The prevailing solution to
this problem is dark matter. Here we show that a different approach, one that
conforms to both the current Standard Model of Particle Physics and General
Relativity, explains the recently observed tight correlation between the
galactic baryonic mass and its observed acceleration. Using direct calculations
based on General Relativity's Lagrangian, and parameter-free galactic models,
we show that the nonlinear effects of General Relativity make baryonic matter
alone sufficient to explain this observation.
