Figures of equilibrium of an inhomogeneous self-gravitating fluid
  This paper is concerned with the figures of equilibrium of a self-gravitating ideal fluid with density stratification and a steady-state velocity field. As in the classical setting, it is assumed that the figures or their layers uniformly rotate about an axis fixed in space. 
Ivan A. Bizyaev, Alexey V. Borisov, and Ivan S. Mamaev
physics.flu-dyn astro-ph.EP nlin.SI