Self-gravitating Fluid Shells and Their Nonspherical Oscillations in Newtonian Theory

Article

Self-gravitating Fluid Shells and Their Nonspherical Oscillations in Newtonian Theory

Bičák, J.; Schmidt, B. G.

ApJ 521(0), 708-717 (1999)

Abstract

We summarize the general formalism describing surface Nows in three-dimensional space in a formwhich is suitable for various astrophysical applications. We then apply the formalism to the analysis of nonradial perturbations of self-gravitating spherical Nuid 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 Nuid 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.

Institute authors

Bičák, Jiří

Supported by

GACR 202/96/0206 — Relativistic physics and astrophysics
GAUK 230/1996 — Relativistická teorie gravitace, astrofyzika a kosmologie

BibTeX

@article{UTF90,
  author        = {Bičák, J. and Schmidt, B. G.},
  title         = {{Self-gravitating Fluid Shells and Their Nonspherical Oscillations in Newtonian Theory}},
  journal       = {ApJ},
  volume        = {521},
  number        = {0},
  pages         = {708-717},
  year          = {1999},
  eprint        = {gr-qc/9903021},
  archivePrefix = {arXiv},
  url           = {http://www.journals.uchicago.edu/doi/abs/10.1086/307560},
}