# Impact of general differential rotation on gravity waves in rapidly rotating stars

## TL;DR

This paper investigates how differential rotation affects gravity wave propagation in rapidly rotating stars, providing a new local dispersion relation that accounts for full rotational effects to improve seismic diagnostics.

## Contribution

It generalizes previous models by deriving a local dispersion relation for gravity waves in differentially rotating stars, including Coriolis and centrifugal effects.

## Key findings

- Derived a comprehensive local dispersion relation for gravity waves.
- Modeled wave propagation as ray trajectories to analyze effects.
- Provided insights into wave behavior in various differential rotation regimes.

## Abstract

Differential rotation plays a key role in stellar evolution by triggering hydrodynamical instabilities and large-scale motions that induce transport of chemicals and angular momentum and by modifying the propagation and the frequency spectrum of gravito-inertial waves. It is thus crucial to investigate its effect on the propagation of gravity waves to build reliable seismic diagnostic tools, especially for fast rotating stars, where perturbative treatments of rotation fail. Generalising a previous work done in the case of uniform rotation, we derived a local dispersion relation for gravity waves in a differentially rotating star, taking the full effect of rotation (both Coriolis and centrifugal accelerations) into account. Then we modelled the propagation of axisymmetric waves as the propagation of rays. This allowed us to efficiently probe the properties of the waves in various regimes of differential rotation.