Brane world models with bulk perfect fluid and broken 4D Poincare
  invariance
  We consider 5D brane world models with broken global 4D Poincar\a'{e}
invariance (4D part of the spacetime metric is not conformal to the Minkowski
spacetime). The bulk is filled with the negative cosmological constant and may
contain a perfect fluid. In the case of empty bulk (the perfect fluid is
absent), it is shown that one brane solution always has either a physical or a
coordinate singularity in the bulk. We cut off these singularities in the case
of compact two brane model and obtain regular exact solutions for both 4D
Poincar\a'{e} broken and restored invariance. When the perfect fluid is present
in the bulk, we get the master equation for the metric coefficients in the case
of arbitrary bulk perfect fluid equation of state (EoS) parameters. In two
particular cases of EoS, we obtain the analytic solutions for thin and thick
branes. First one generalizes the well known Randall-Sundrum model with one
brane to the case of the bulk anisotropic perfect fluid. In the second
solution, the 4D Poincar\a'{e} invariance is restored. Here, the spacetime goes
asymptotically to the anti-de Sitter one far from the thick brane.
