Low-frequency oscillations of uniformly rotating stars

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Abstract
Low-frequency non-radial oscillations of a uniformly rotating massive main-sequence star are studied. Solving the linear differential equations as an eigenvalue problem we obtain (purely real) frequencies of gravity modes and rotational modes as functions of the rotation frequency. The avoided crossings of eigenfrequencies occur among gravity modes as the rotation frequency changes. When a frequency of inertial oscillations in the convective core coincides with the frequency of a gravity mode oscillation, we obtain a normal mode which has the property of the convective (inertial) mode in the core and that of the gravity mode in the envelope. The same resonant phenomenon occurs between a convective (inertial) mode and a rotational mode, too. The analytical discussion on the numerical results is given by using an asymptotic method.

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