Gravity modes in rapidly rotating polytropic stars

TL;DR

This study investigates how rapid rotation influences gravity modes in polytropic stars using comprehensive 2D calculations, assessing the limits of perturbative methods and exploring mode properties.

Contribution

It introduces a complete 2D approach to analyze gravity modes in rapidly rotating stars, including effects of Coriolis force, centrifugal distortion, and compressibility.

Findings

Validated the domain of perturbative methods for rotating stars.

Explored properties of l=1 gravity modes in rapid rotation.

Provided insights into mode behavior under combined rotational effects.

Abstract

Using the Two-dimensional Oscillation Program (TOP), we have explored the effects of rapid rotation on gravity modes in polytropic stars. Coriolis force, centrifugal distortion as well as compressible effects have been taken into account. Thanks to our complete calculation, we have first studied the validity domain of perturbative methods and started to explore properties of these modes. We focus on l=1 in this analysis.