On the stability of a gaseous sphere against non-radial perturbations

Details On the stability of a gaseous sphere against non-radial perturbations On the stability of a gaseous sphere against non-radial perturbations

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.259...95a&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 259, no. 1, p. 95-103.

Statistics

Computation

3

Barotropism, Computational Astrophysics, Perturbation Theory, Stellar Interiors, Stellar Physics, Entropy, Stability, Stellar Mass

Scientific paper

We present a simplified proof of the Antonov-Lebovitz theorem, asserting that any spherical barotropic star having a mass density decreasing monotonically outwards and vanishing at its surface is stable to all non-radial perturbations. We also develop a simple argument showing in a straightforward way a related but somewhat weaker result, according to which any such star is stable if and only if it is stable to radial perturbations. Extension of these results to a star with non-decreasing specific entropy distribution is also briefly discussed.

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