Superfluid stars and Q-balls in curved spacetime

Within the framework of theory strongly-interacting quantum Bose liquids, we consider a general relativistic model self-interacting complex scalar fields with logarithmic nonlinearity taken from dense superfluid models. We demonstrate existence gravitational equilibria in this model, described by spherically symmeric nonsingular finite-mass asymptotically-flat solutions. These equilibrium configurations can describe both massive astronomical objects, such as bosonized stars or cores neutron stars, and finite-size particles non-topological solitons, Q-balls. give an estimate for masses sizes objects.