Dipoles and chains of solitons in the Friedberg-Lee-Sirlin model

We construct static axisymmetric multisolitons in the Einstein-Friedberg-Lee-Sirlin model. This theory features a complex scalar field which gains mass through its interaction with a real scalar field that has a nonzero vacuum expectation value. By performing three-dimensional numerical relativity simulations, we identify stable dipolar boson stars in specific regions of the parameter space. Based on the dipole results, nonrotating odd-parity chains with and without gravity can also be constructed when the mass of the real scalar field is sufficiently small. However, chains beyond the dipole case are found to be unstable.