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Stothers, R., 1981: Analytic solutions of the radial pulsation equation for rotating and magnetic star models. M. Not. Royal Astron. Soc., 197, 351-361.
The wave equation describing small radial perturbations of spherically symmetric, gaseous stars has been generalized to include, in a simple way, the effects of axial rotation and of tangled magnetic fields. Solutions in closed form have been obtained for the adiabatic pulsation periods of five analytic stellar models in two special cases, which have, none the less, considerable astrophysical interest. Non-adiabatic stability criteria have been determined by means of the one-zone stellar model. Results are discussed for a range of physical parameters of the models, and applications are made to the case of classical Cepheids and other variable giant stars.
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