The spectrum of radial adiabatic stellar oscillations.

Details The spectrum of radial adiabatic stellar oscillations. The spectrum of radial adiabatic stellar oscillations.

Sep 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jmp....36.4815b&link_type=abstract

Journal of Mathematical Physics, Vol. 36, No. 9, p. 4815 - 4825

Mathematics

Mathematical Physics

6

Stellar Oscillations: Polytropes

Scientific paper

The stability analysis with respect to "small" radial adiabatic perturbations of spherically symmetric stellar equilibrium models which are polytropic with a constant adiabatic index only near the center and the boundary of the star leads to the consideration of a class of singular minimal Sturm-Liouville operators. It is shown that the physical boundary conditions choose in a unique way the corresponding Friedrichs extensions. Moreover, all linear self-adjoint extensions of the members of the class are determined and are shown to have a purely discrete spectrum.

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