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Rotational Modes in A Uniformly Rotating Star

Published online by Cambridge University Press:  12 April 2016

P. Smeyers
P. Smeyers*
Affiliation:
Astronomisch Instituut Katholieke Universiteit Leuven

Abstract

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The linear adiabatic oscillations of a uniformly rotating star are examined with respect to a co-rotating frame of reference. It is shown that time-independent displacement fields are allowed and can be represented as toroidal fields. The time-dependent oscillation modes are governed by a system of differential equations of the fourth order in time for axisymmetri’c perturbations, and of the fifth order for non-axisymmetric perturbations. Therefore, in comparison to a non-rotating spherical star, a rotating star allows a new class of non-axisymmetric oscillation modes with non-zero frequencies. These modes correspond to the r-modes, which originate from purely toroidal displacement fields in a non-rotating spherical star.

Type
XII. Effect of Rotation and Magnetic Fields on Pulsation
Information
International Astronomical Union Colloquium , Volume 58: Stellar Hydrodynamics , August 1980 , pp. 653 - 659
Copyright
Copyright © Reidel 1980

References

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