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  Self-gravitating fluid shells and their non-spherical oscillations in Newtonian theory

Bicak, J., & Schmidt, B. G. (1999). Self-gravitating fluid shells and their non-spherical oscillations in Newtonian theory. Astrophysical Journal, 521(2), 708-717.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5882-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5883-6
Genre: Journal Article

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38913.web.pdf (Publisher version), 162KB
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 Creators:
Bicak, Jiri1, Author
Schmidt, Bernd G.1, Author
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1MPI for Gravitational Physics, Max Planck Society, escidoc:24007              

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 Abstract: We summarize the general formalism describing surface Ñows in three-dimensional space in a form which is suitable for various astrophysical applications. We then apply the formalism to the analysis of nonradial perturbations of self-gravitating spherical Ñuid 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 Ñuid shells are unstable with respect to linear nonradial perturbations. Only shells (bubbles) with a negative mass (or with a charge the repulsion of which is compensated by a tension) are stable.

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 Dates: 1999
 Publication Status: Published in print
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 Identifiers: eDoc: 206129
Other: 16379
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Title: Astrophysical Journal
Source Genre: Journal
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Pages: - Volume / Issue: 521 (2) Sequence Number: - Start / End Page: 708 - 717 Identifier: -