Stability of excited bosonic stellar configurations

Physics

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Scientific paper

In this paper I study the problem of the dynamical stability of Bose star configurations which correspond to excited states. In particular I show that the eigenvalues of the pulsation equation, which governs the time evolution of the infinitesimal radial oscillations, are real. This, together with the theorem, proved by Lee and Pang, that for a configuration with critical central density ϱcrit the pulsation equation has a zero mode and the fact that for central densities much smaller than ϱcrit the lowest eigenvalue is positive, leads to the conclusion that the excited Bose star configurations are classically stable for central densities up to ϱcrit.

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