Effects of Uniform and Differential Rotation on Stellar Pulsations
C.C. Lovekin, R.G. Deupree, M.J. Clement

TL;DR
This study examines how uniform and differential rotation influence the pulsation frequencies of 10 solar mass stellar models, revealing that rotation generally decreases frequencies and complicates internal rotation diagnostics.
Contribution
It provides a detailed analysis of the effects of both uniform and differential rotation on stellar pulsation frequencies, highlighting the challenges in distinguishing internal rotation profiles.
Findings
Uniform rotation decreases pulsation frequencies.
Differential rotation has minimal effect except in extreme cases.
Rotation affects large and small frequency separations at lower velocities.
Abstract
We have investigated the effects of uniform rotation and a specific model for differential rotation on the pulsation frequencies of 10 \Msun\ stellar models. Uniform rotation decreases the frequencies for all modes. Differential rotation does not appear to have a significant effect on the frequencies, except for the most extreme differentially rotating models. In all cases, the large and small separations show the effects of rotation at lower velocities than do the individual frequencies. Unfortunately, to a certain extent, differential rotation mimics the effects o f more rapid rotation, and only the presence of some specific observed frequencies with well identified modes will be able to uniquely constrain the internal rotation of pulsating stars.
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