On Profiles of Boson Stars with Self-Interactions
  Under the influence of gravity, light scalar fields can form bound compact
objects called boson stars. We use the technique of matching asymptotic
expansions to obtain the profile for boson stars where the constituent
particles have self-interactions. We obtain parametric representations of these
profiles as a function of the self-interactions, including the case of very
strong self-interactions. We show that our methods agree with solutions
obtained by purely numerical methods. Significant distortions are found as
compared to the noninteracting case.
