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The oscillation and stability of differentially rotating spherical shells: the normal-mode problem

2002/10/31 by Anna L. Watts, Nils Andersson, Horst R. Beyer +3 · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #Stellar, planetary, and galactic studies #astro-ph #gr-qc

paper · pdf · doi:10.1046/j.1365-8711.2003.06612.x

published as Mon.Not.Roy.Astron.Soc.342:1156,2003 · 14 pages, 6 figures, minor error corrected, MNRAS in press

arxiv created 2003/04/29 · openalex publication_date 2003/07/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An understanding of the dynamics of differentially rotating systems is key to many areas of astrophysics. We investigate the oscillations of a simple system exhibiting differential rotation, and discuss issues concerning the role of corotation points and the emergence of dynamical instabilities. This problem is of particular relevance to the emission of gravitational waves from oscillating neutron stars, which are expected to possess significant differential rotation immediately after birth or binary merger.

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