### Abstract

We review the properties of low-frequency oscillations in uniformly rotating stars. Rotation not only yields a new class of modes, like inertial modes and r-modes, but also significantly modifies the properties of low-frequency g-modes. For slow rotation rates where |Ω/ω| ≪ 1, we can treat the rotation frequency Ω as a small parameter for perturbation analysis, but for |Ω/ω| ≮< 1, we have to properly solve the oscillation equation given as a set of partial differential equations, taking account of the effects of the Coriolis force and the centrifugal force, where ω stands for the oscillation frequency observed in the corotating frame of the star. The Coriolis force couples modes having different spherical harmonic degrees l, and the centrifugal force deforms the equilibrium structure. Rapid rotation affects the stability and the frequency of low-frequency modes. We discuss perturbation theory, the traditional approximation, linear mode coupling, series expansion methods, and weakly nonlinear calculations, which are applied to low-frequency modes in rotating stars.

Original language | English |
---|---|

Title of host publication | Studying Stellar Rotation and Convection |

Subtitle of host publication | Theoretical Background and Seismic Diagnostics |

Editors | Mariejo Goupil, Kevin Belkacem, Coralie Neiner, John Green, Francois Lignieres |

Pages | 133-157 |

Number of pages | 25 |

DOIs | |

Publication status | Published - 2013 Dec 1 |

### Publication series

Name | Lecture Notes in Physics |
---|---|

Volume | 865 |

ISSN (Print) | 0075-8450 |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

## Fingerprint Dive into the research topics of 'Low-frequency oscillations in rotating stars'. Together they form a unique fingerprint.

## Cite this

*Studying Stellar Rotation and Convection: Theoretical Background and Seismic Diagnostics*(pp. 133-157). (Lecture Notes in Physics; Vol. 865). https://doi.org/10.1007/978-3-642-33380-4-7