A comparison of oscillation frequencies of rotating stars obtained by one- and two-dimensional calculations

TL;DR

This paper compares one- and two-dimensional methods for calculating oscillation frequencies in rotating stars, highlighting the importance of accurately modeling centrifugal deformation for p-modes.

Contribution

It provides a detailed analysis of how different computational approaches affect the accuracy of oscillation frequency predictions in rotating stars.

Findings

P-mode frequencies are highly sensitive to centrifugal deformation treatment.

G-mode frequencies are less affected by the deformation for lower frequencies.

Two-dimensional calculations improve the accuracy of frequency estimates.

Abstract

We discuss how the p- and g-mode frequencies calculated for rotating stars are affected by the way of including the centrifugal deformations. We find that p-mode frequencies are sensitive to the accuracy in treating the centrifugal deformation, while the effect becomes smaller for smaller frequencies in the g-mode range.