ar X iv : g r - qc / 9 90 30 21 v 2 2 9 M ar 1 99 9 Self – gravitating fluid shells and their non – spherical oscillations in Newtonian theory

نویسنده

  • Bernd G. Schmidt
چکیده

We summarize the general formalism describing surface flows in three–dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of non–radial perturbations of self–gravitating spherical fluid shells. Spherically symmetric gravitating shells (or bubbles) have been used in numerous model problems especially in general relativity and cosmology. A radially oscillating shell was recently suggested as a model for a variable cosmic object. Within Newtonian gravity we show that self–gravitating static fluid shells are unstable with respect to linear non–radial perturbations. Only shells (bubbles) with a negative mass (or with a charge the repulsion of which is compensated by a tension) are stable. Subject headings: gravitation — hydrodynamics — instabilities — stars: oscillations — supernovae: general

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تاریخ انتشار 1999