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Asteroseismology has reached a level of accuracy that may allow us to detectthe effect of a deep magnetic field on oscillation modes. We thus aim todevelop an asymptotic theory for short-wavelength waves in radiative zones ofrotating stars with a general magnetic field topology (toroidal and poloidal).A dispersion relation is derived for a uniformly rotating star with alow-amplitude, axisymmetric magnetic field. The parameter space of this modelis explored with a Hamiltonian ray-tracing method. The features of thegravito-inertial waves modified by the magnetic field are studied withdifferent magnetic topologies.

Waves in the radiative zones of rotating, magnetized stars