Generating ultra compact boson stars with modified scalar potentials

Understand

The properties of selfinteracting boson stars with different scalar potentials going beyond the commonly used $\phi^4$ ansatz are studied.

• The scalar potential is extended to different values of the exponent $n$ of the form $V \propto \phi^n$.
• Two stability mechanism for boson stars are introduced, the first being a mass term and the second one a vacuum term.
• We present analytic scale-invariant expressions for these two classes of equations of state.