Flat rotation curves in Chern-Simons modified gravity
  We investigate the spacetime of a slowly rotating black hole in the Chern-Simons modified gravity. The long range feature of frame-dragging effect under the Chern-Simon gravity well explains the flat rotation curves of galaxies which is a central evidence of dark matter. Our solution provides a different scenario of rotating space from Goedel's solution. 
Kohkichi Konno, Toyoki Matsuyama, Yasuhiro Asano, Satoshi Tanda