Quadratic Gravitational Lagrangian with Torsion Can Give Possible   Explanations of the Form of Galactic Rotation Curves, of the Amount of   Intergalactic Lensings, and of the Accelerating Expansion of the Universe
  The Quadratic Gravitational Lagrangian with torsion provides us with a richer number of solutions than the Einstein-Hilbert Lagrangian does. With proper interpretation, these solutions, together, seem to give good explanations of the form of the galactic rotation curves, of the amount of intergalactic gravitational lensings, and of the accelerating expansion of the Universe. The existence of Particle Families can also arise from the existence of these various microscopic metrics endowed to the respective particles 
Yi Yang, Wai Bong Yeung
physics.gen-ph