Rotation curves of spiral galaxies and large scale structure of universe under generalized Einstein action

Mar, 1992
25 pages
Published in:
  • Int.J.Mod.Phys.D 2 (1993) 123-134
e-Print:
Report number:
  • NWU-4-92

Citations per year

19931997200120052008102
Abstract:
We consider an addition of the term which is a square of the scalar curvature to the Einstein-Hilbert action. Under this generalized action, we attempt to explain i) the flat rotation curves observed in spiral galaxies, which is usually attributed to the existence of dark matter, and ii) the contradicting observations of uniform cosmic microwave background and non-uniform galaxy distributions against redshift. For the former, we attain the flatness of velocities, although the magnitudes remain about half of the observations. For the latter, we obtain a solution with oscillating Hubble parameter under uniform mass distributions. This solution leads to several peaks of galaxy number counts as a function of redshift with the first peak corresponding to the Great Wall.