Self-trapping of g-mode oscillations in relativistic thin discs, revisited – II. Revision of boundary condition

Abstract

In the previous paper, we have examined how the self-trapping of g-mode oscillations in geometrically thin relativistic discs is affected by the presence of uniform vertical magnetic fields. Discs considered are isothermal in the vertical direction and are truncated at a certain height by presence of hot corona. After the correction of simple analytical error, we showed that the self-trapping of axisymmetric g-mode oscillations in non-magnetized discs is destroyed by weak magnetic fields as Fu and Lai showed. In this paper, however, we re-examine the same problem by imposing a different, more relevant boundary condition on the disc-corona surface and find that the self-trapping of axisymmetric g-mode oscillations seems to still exist like in the case of non-magnetized discs.