  The model of a spiral galaxy with radially directed flows of dark matter is
extended by exotic matter, in a form of a perfect fluid with a linear
anisotropic equation of state. The exotic matter is collected in the minimum of
gravitational potential and opens a wormhole in the center of the galaxy. The
flows of dark matter pass through the wormhole and form a mirror galaxy on the
other side. The influence of model parameters to the shape of solution is
studied, a solution matching parameters of Milky Way galaxy is computed.
