The oscillation and stability of differentially rotating spherical shells: The normal mode problem
Astrophysics
2009-01-09 v3 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.astro-ph/0210122,
title = {The oscillation and stability of differentially rotating spherical shells: The normal mode problem},
author = {Anna L. Watts and Nils Andersson and Horst Beyer and Bernard F. Schutz},
journal= {arXiv preprint arXiv:astro-ph/0210122},
year = {2009}
}
Comments
14 pages, 6 figures, minor error corrected, MNRAS in press