Quasi-toroidal oscillations in rotating relativistic stars
Y. KojimaDepartment of Physics, Hiroshima University, Higashi-Hiroshima 739, Japan
1998en
ABI
Abstract
Quasi-toroidal oscillations in slowly rotating stars are examined within the framework of general relativity. Unlike the Newtonian case, the oscillation frequency to first order of the rotation rate is not a single value, even for uniform rotation. 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 the background mean flow. The resonant frequency varies with the radius according to the general relativistic dragging effect.
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Cited by 20 references