  We present a metric theory of gravity with Lagrangian
  L = (8\pi G)^{-1}(\Xi g^{ii} - \Upsilon g^{00})\sqrt{-g} + L_{GR} +
L_{matter}
  motivated by classical equations
  \partial_t \rho + \partial_i (\rho v^i) = 0
  \partial_t (\rho v^j) + \partial_i (\rho v^i v^j + p^{ij}) = 0
  for a medium in Newtonian space-time. We obtain stable ``frozen stars''
instead of black holes and a ``big bounce'' instead of a big bang singularity.
