  We study static, spherically symmetric mixed configurations with a nontrivial
(wormhole) spacetime topology provided by the presence of two interacting ghost
scalar fields. Wormhole is assumed to be filled by a perfect relativistic
neutron fluid modeled by a polytropic equation of state. For such mixed
configurations, we find regular, asymptotically flat general relativistic
solutions. It is shown that the maximum of the fluid density is always shifted
from the center, and the resulting configurations represent, in general,
double-throat systems.
