$U(1)$ gauged boson stars in the Einstein-Friedberg-Lee-Sirlin model

We consider spherically symmetric $U(1)$ gauged boson stars in the two-component scalar Friedberg-Lee-Sirlin model with a symmetry breaking potential in 3+1 dimensional spacetime. Depending on the relative strength of gravity and the electromagnetic interaction, the resulting boson stars exhibit either the typical properties of ungauged boson stars, or their behavior resembles the pattern found for gauged Q-balls of the Friedberg-Lee-Sirlin model in flat spacetime, both for a finite and a vanishing potential.