Quasi-toroidal oscillations in rotating relativistic stars

Preprint

2 September 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9709003

Abstract

Quasi-toroidal oscillations in slowly rotating stars are examined in the framework of general relativity. The oscillation frequency to first order of the rotation rate is not a single value even for uniform rotation unlike the Newtonian case. All the oscillation frequencies of the r-modes are purely neutral and form a continuous spectrum limited to a certain range. The allowed frequencies are determined by the resonance condition between the perturbation and background mean flow. The resonant frequency varies with the radius according to general relativistic dragging effect.

Keywords

TOROIDAL OSCILLATIONS
ROTATING RELATIVISTIC
RELATIVISTIC STARS
QUASI TOROIDAL
FREQUENCIES
STARS QUASI

All Related Versions

Version 1, 1997-09-02, ArXiv
Published version: Monthly Notices of the Royal Astronomical Society, 293 (1), 49.

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