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

TL;DR

This paper revisits the self-trapping of g-mode oscillations in relativistic thin disks, demonstrating that with a revised boundary condition, self-trapping persists despite the presence of magnetic fields, contrasting previous findings.

Contribution

It introduces a more relevant boundary condition at the disk-corona surface, showing that self-trapping can survive magnetic effects, revising earlier conclusions.

Findings

Self-trapping persists with revised boundary conditions.

Magnetic fields do not destroy self-trapping under new boundary conditions.

Re-examination challenges previous results about magnetic influence.

Abstract

In a previous paper (Kato 2017a) we have examined how the self-trapping of g-mode oscillations in geometrically thin relativistic disks is affected by the presence of uniform vertical magnetic fields. Disks considered are isothermal in the vertical direction and are truncated at a certain height by presence of hot corona. After a correction of simple analytical error, we showed (Kato 2017b) that the self-trapping of axisymmetric g-mode oscillations in non-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 a different more relevant boundary condition on the disk-corona surface and find that the self-trapping of axisymmetric g-mode oscillations seems to still exist like the case of non-magnetized disks.