# Linear stability analysis of magnetized relativistic rotating jets

## TL;DR

This paper performs a linear stability analysis of magnetized relativistic rotating jets, identifying various instability modes and their dependence on magnetization, magnetic pitch, and rotation, revealing increased stability in relativistic jets.

## Contribution

It introduces a comprehensive analysis of instability modes in relativistic jets, highlighting the effects of magnetization, magnetic pitch, and rotation on jet stability.

## Key findings

- Kelvin-Helmholtz instability weakly depends on magnetic pitch and rotation.
- Current-driven instability increases with decreasing magnetic pitch and is stabilized by rotation.
- Relativistic jets are generally more stable than non-relativistic jets.

## Abstract

We carry out a linear stability analysis of a magnetized relativistic rotating cylindrical jet flow using the approximation of zero thermal pressure. We identify several modes of instability in the jet: Kelvin-Helmholtz, current driven and two kinds of centrifugal-buoyancy modes -- toroidal and poloidal. The Kelvin-Helmholtz mode is found at low magnetization and its growth rate depends very weakly on the pitch parameter of the background magnetic field and on rotation. The current driven mode is found at high magnetization, the values of its growth rate and the wavenumber, corresponding to the maximum growth, increase as we decrease the pitch parameter of the background magnetic field. This mode is stabilized by rotation, especially, at high magnetization. The centrifugal-buoyancy modes, arising due to rotation, tend also to be more stable when magnetization is increased. Overall, relativistic jet flows appear to be more stable with respect to their non-relativistic counterpart.