1999/03/29 by J. Bicak, Jiřı́ Bičák, Bernd Schmidt +1 · 10 citations
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Formalism (music) #General relativity #Gravitation #Newtonian fluid #Perfect fluid #Physics #Relativity and Gravitational Theory #astro-ph #gr-qc
paper · pdf · doi:10.1086/307560
published in The Astrophysical Journal 521(2), 708-717 (IOP Publishing) · 20 pages, to be published in the Astrophysical Journal, typos corrected
arxiv created 1999/03/29 · openalex publication_date 1999/08/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 nonradial 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 nonradial perturbations. Only shells (bubbles) with a negative mass (or with a charge the repulsion of which is compensated by a tension) are stable.