# Self-Trapping of G-Mode Oscillations in Relativistic Thin Disks, Revisited

## TL;DR

This study investigates how uniform vertical magnetic fields influence the self-trapping of g-mode oscillations in relativistic thin disks, finding that weak magnetic fields do not alter the trapping, supporting their role in explaining observed X-ray binary oscillations.

## Contribution

It demonstrates that the self-trapping of g-mode oscillations remains unaffected by magnetic fields up to a certain strength, extending previous non-magnetic models.

## Key findings

- Magnetic fields do not change g-mode trapping in disks with weak fields.
- Trapped g-modes are potential explanations for QPOs in X-ray binaries.
- Magnetic field strength increases as disk thickness decreases.

## Abstract

We examine by a perturbation method how the self-trapping of g-mode oscillations in geometrically thin relativistic disks is affected by uniform vertical magnetic fields. Disks which we consider are isothermal in the vertical direction, but are truncated at a certain height by presence of hot coronae. We find that the characteristics of self-trapping of axisymmetric g-mode oscillations in non-magnetized disks is kept unchanged in magnetized disks at least till a strength of the fields, depending on vertical thickness of disks. These magnetic fields become stronger as the disk becomes thinner. This result suggests that trapped g-mode oscillations still remain as one of possible candidates of quasi-periodic oscillations observed in black-hole and neutron-star X-ray binaries in the cases where vertical magnetic fields in disks are weak.