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Journal Articles Monthly Notices of the Royal Astronomical Society Year : 1992

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

Jérôme Perez
Jean-Jacques Aly
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Abstract

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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Dates and versions

hal-01141417 , version 1 (20-03-2022)

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Attribution - CC BY 4.0

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Jérôme Perez, Jean-Jacques Aly. On the stability of a gaseous sphere against non-radial perturbations. Monthly Notices of the Royal Astronomical Society, 1992, 259 ((1)), pp 95-103. ⟨10.1093/mnras/259.1.95⟩. ⟨hal-01141417⟩

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