Topology and obliquity of core magnetic fields in shaping seismic properties of slowly rotating evolved stars

It is thought that magnetic fields must be present in the interiors of stars to resolve certain discrepancies between theory and observation (e.g. angular momentum transport), but such are difficult detect characterise. Asteroseismology a powerful technique for inferring internal structures by measuring their oscillation frequencies, succeeds particularly with evolved stars, owing mixed modes, which sensitive deep interior. The goal this work phenomenological study combined effects rotation magnetism where both assumed weak enough first-order perturbation applies, we focus on regime Coriolis Lorentz forces comparable. Axisymmetric "twisted-torus" field configurations used, confined core allowed misaligned respect axis. Factors as radius, topology obliquity examined. We observe finer-scale radial structure and/or smaller extent produce contributions frequency shift. interplay shown complex: demonstrate it possible nearly symmetric multiplets apparently low multiplicity arise even under substantial field, might falsely appear rule out its presence. Our results suggest proper modelling magnetism, simultaneous fashion, may required draw robust conclusions about existence/non-existence any given object.