Oscillation spectra of neutron stars with strong magnetic fields

The authors have investigated the effects of a strong vertical magnetic field on the oscillation spectrum of a cylindrical slab model for the surface layers of a neutron star. In particular, they have considered the effects on those modes known to be concentrated in the surface layers: the pseudo-toroidal t- and a-modes and the pseudo-spheroidal s-, i-, and m/g-modes. The authors have derived and solved the Newtonian pulsation equations for the cylindrical model. The electromagnetic boundary conditions at the neutron star surface match the magnetohydrodynamic motions within the star to outgoing electromagnetic radiation in the evacuated waveguide above the surface; pseudo-toroidal modes couple to TM electromagnetic modes in the waveguide, while pseudo-spheroidal modes match to TE radiation. The periods of the t- and s-modes are similar to the quasi-periodicities observed in some pulsars.

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