Stability and physical properties of spherical excited scalar boson stars

We study the time evolution of spherical, excited---with $n$ radial nodes---scalar boson stars in general relativity minimally coupled to a complex massive scalar field with quartic self-interactions. report that these stars, up $n=10$, can be made dynamically stable, timescales $t\ensuremath{\sim}\frac{1{0}^{4}}{c\ensuremath{\mu}}$, where $\ensuremath{\mu}$ is inverse Compton wavelength particle, for sufficiently large values self-interactions coupling constant $\ensuremath{\lambda}$, which depends on $n$. observe compactness solutions rather insensitive $n$, $\ensuremath{\lambda}$ and fixed frequency. Generically, along branches stability was studied, excited are not compact enough allow innermost stable circular orbits or light rings. Finally, we discuss angular velocity particles timelike orbits, suggesting an application, Newtonian limit, galactic rotation curves.