Stability of charged boson stars

Physics

Scientific paper

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Scientific paper

I study the dynamical stability of spherically symmetric gravitational equilibria of scalars coupled to a U(1) gauge field. I derive the pulsation equation, which governs the time evolution of the infinitesimal radial oscillations as well as a variational principle for its eigenvalues. The eigenvalues are real also in the case where the equilibrium configurations have nodes. The equilibrium configurations with a central density bigger than ϱcrit, corresponding to the critical mass, are dynamically unstable.

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