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In a previous paper (Kato 2017a) we have examined how the self-trapping ofg-mode oscillations in geometrically thin relativistic disks is affected by thepresence of uniform vertical magnetic fields. Disks considered are isothermalin the vertical direction and are truncated at a certain height by presence ofhot corona. After a correction of simple analytical error, we showed (Kato2017b) that the self-trapping of axisymmetric g-mode oscillations innon-magnetized disks is destroyed by weak magnetic fields as Fu and Lai (2009)showed. In this paper, however, we re-examine the same problem by imposing adifferent more relevant boundary condition on the disk-corona surface and findthat the self-trapping of axisymmetric g-mode oscillations seems to still existlike the case of non-magnetized disks.

Self-Trapping of G-Mode Oscillations in Relativistic Thin Disks, Revisited II: Revision of Boundary Condition