Forced oscillations in a rotating star - Low frequency gravity modes

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Gravity Waves, Stellar Oscillations, Stellar Rotation, Polytropic Processes, Resonance, Stellar Envelopes, Stellar Models

Scientific paper

The author studies the effect of rotation on the excitation of the low frequency gravity modes of a star by an external gravitational potential. The excitation rate is expressed by a so called resonance coefficient. This coefficient results from the analysis of the asymptotic form of the eigenfunctions describing the g-modes in a stellar model with a convective core and a radiative envelope. The oscillations are assumed to be adiabatic, and the star uniformly rotating. It is found that the resonance coefficient is strongly dependent on the index ne of the polytrope which describes the external layers of the star. For ne = 3, it is of the same order as the coefficient obtained in the case where rotation is neglected; it is smaller for ne < 3, larger for ne > 3. However the resonance is sharper because the g-modes spectrum is denser in a rotating star. It results that rotation generally increases the excitation of the low frequency gravity modes.

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