### Abstract

We study the nature of non-axisymmetric dynamical instabilities in differentially rotating stars with both linear eigenmode analysis and hydrodynamic simulations in Newtonian gravity. We especially investigate the following three types of instability; the one-armed spiral instability, the low T/|W| bar instability, and the high T/|W| bar instability, where T is the rotational kinetic energy and W is the gravitational potential energy. The nature of the dynamical instabilities is clarified by using a canonical angular momentum as a diagnostic. We find that the one-armed spiral and the low T/|W| bar instabilities occur around the corotation radius, and they grow through the inflow of canonical angular momentum around the corotation radius. The result is a clear contrast to that of a classical dynamical bar instability in high T/|W|. We also discuss the feature of gravitational waves generated from these three types of instability.

Original language | English |
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Title of host publication | AIP Conference Proceedings |

Pages | 728-735 |

Number of pages | 8 |

Volume | 861 |

DOIs | |

Publication status | Published - 2006 |

Externally published | Yes |

Event | Albert Einstein Century International Conference - Paris Duration: 2005 Jul 18 → 2005 Jul 22 |

### Other

Other | Albert Einstein Century International Conference |
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City | Paris |

Period | 05/7/18 → 05/7/22 |

### Keywords

- Gravitational waves
- Hydrodynamics
- Instabilities
- Stars: Evolution
- Stars: Oscillation
- Stars: Rotation

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*AIP Conference Proceedings*(Vol. 861, pp. 728-735) https://doi.org/10.1063/1.2399650