Scalar Field Dark Matter and Galaxy Formation
  We present a general description of the scalar field dark matter (SFDM) hypothesis in the cosmological context. The scenario of structure formation under such a hypothesis is based on Jeans instabilities of fluctuations of the scalar field. It is shown that it is possible to form stable long lived objects consisting of a wide range of typical galactic masses around $10^{12}M_{\odot}$ once the parameters of the effective theory are fixed with the cosmological constraints. The energy density at the origin of such an object is smooth as it should. 
Miguel Alcubierre, F. Siddhartha Guzman, Tonatiuh Matos, Dario Nunez,   L. Arturo Urena-Lopez, Petra Wiederhold