## Abstract

We investigate the r-mode instability of uniformly rotating stars by means of three dimensional hydrodynamical simulations in Newtonian gravity with radiation reaction We have succeeded in constructing a nonlinear anelastic approximation in the rotating reference frame, which kills the propagation of sound speed, in order to evolve the system beyond the dynamical timescale. When the current multipole contribution is dominant to the r-mode instability (density fluctuation effect is negligible), the instability seems to last for at least hundreds of rotation periods Studies of no anelastic approximation with small amplitude of velocity perturbation may help us for a better understanding.

Original language | English |
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Title of host publication | RESCEU Symposium on General Relativity and Gravitation, JGRG 22 |

Pages | 111409 |

Number of pages | 1 |

Publication status | Published - 2012 |

Externally published | Yes |

Event | 22nd Workshop on General Relativity and Gravitation in Japan 2012, JGRG 22 - Hongo, Tokyo Duration: 2012 Nov 12 → 2012 Nov 16 |

### Other

Other | 22nd Workshop on General Relativity and Gravitation in Japan 2012, JGRG 22 |
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City | Hongo, Tokyo |

Period | 12/11/12 → 12/11/16 |

## ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics