Superfluid stars and Q-balls in curved spacetime

Within the framework of the theory of strongly-interacting quantum Bose liquids, we consider a general relativistic model of self-interacting complex scalar fields with logarithmic nonlinearity taken from dense superfluid models. We demonstrate the existence of 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 superfluid stars or cores of neutron stars, and finite-size particles and non-topological solitons, such as Q-balls. We give an estimate for masses and sizes of such objects.

Automated summary

Within the theory of strongly-interacting quantum Bose liquids, a general relativistic model of self-interacting complex scalar fields with logarithmic nonlinearity is considered, demonstrating the existence of gravitational equilibria described by spherically symmeric nonsingular finite-mass asymptotically-flat solutions. These equilibrium configurations can describe massive astronomical objects like bosonized superfluid stars or neutron star cores, as well as finite-size particles and non-topological solitons like Q-balls, with estimates for their masses and sizes provided.