  Boson stars coupled to Einstein's general relativity possess some features
similar to gravastars, such as the anisotropy in principal pressures and
relatively large compactness ($\mu_{max} = 0.32$). However, no matter how large
the self-interaction is, the ordinary boson star cannot obtain arbitrarily
large compression and as such does not represent a good black hole mimicker.
When the boson star is nonminimally coupled to gravity, the resulting
configurations resemble more the dark energy stars then the ordinary boson
stars, with compactness significantly larger then that in ordinary boson stars
(if matter is not constrained with the energy conditions). The gravitationally
bound system of a boson star and a global monopole represents a good black hole
mimicker.
