Radial and non-radial oscillations of spherically symmetric stellar systems

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Oscillations, Spheres, Stellar Systems, Symmetry, Hilbert Space, Perturbation, Star Clusters

Scientific paper

In an expansion scheme in velocity space, the first order perturbations of a stellar system bear close resemblance to those of a fluid. This feature is exploited to study the structure of the Hilbert space of the linear perturbations of a stellar system, to provide a classification for the modes, and to construct ansatz for variational calculations. The first order non-radial modes appear to be trispectral in that they are predominantly derived from a scalar potential, a toroidal vector potential, or a poloidal vector potential. The eigenfrequencies and the eigenfunctions of radial (l=0) and non-radial (l=1) modes of polytropes and of truncated isothermal distributions are calculated. The density waves associated with these modes are also reported.

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