Two boson stars in equilibrium

We construct and explore the solution space of two nonspinning, miniboson stars in equilibrium, fully nonlinear general relativity (GR), minimally coupled to a free, massive, complex scalar field. The equilibrium is due balance between (long range) gravitational attraction (short-range) mediated repulsion, latter enabled by $\ensuremath{\pi}$ relative phase. Gravity mandatory; it shown no similar solutions exist flat spacetime, replacing gravity interactions. study variation proper distance with their mass (or oscillation frequency), showing can be qualitatively captured simple analytic model that features competing