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

The oscillation and stability of differentially rotating spherical shells: the normal mode problem
The oscillation and stability of differentially rotating spherical shells: the normal mode problem
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.
0035-8711
1156-1168
Watts, A.L.
b3a12e46-8c85-4eba-b205-81ef9ba1a358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Beyer, H.
2a7ab200-7378-47ff-a9db-c4a349640c29
Schutz, B.F.
2823bd0d-67e4-4439-a815-24fd6ab7670b
Watts, A.L.
b3a12e46-8c85-4eba-b205-81ef9ba1a358
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Beyer, H.
2a7ab200-7378-47ff-a9db-c4a349640c29
Schutz, B.F.
2823bd0d-67e4-4439-a815-24fd6ab7670b

Watts, A.L., Andersson, N., Beyer, H. and Schutz, B.F. (2003) The oscillation and stability of differentially rotating spherical shells: the normal mode problem. Monthly Notices of the Royal Astronomical Society, 342 (4), 1156-1168. (doi:10.1046/j.1365-8711.2003.06612.x).

Record type: Article

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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Published date: 2003

Identifiers

Local EPrints ID: 29453
URI: http://eprints.soton.ac.uk/id/eprint/29453
ISSN: 0035-8711
PURE UUID: a984bfd8-84c0-4e70-9a4e-373cda0d2c56
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 12 May 2006
Last modified: 28 Apr 2022 01:43

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Contributors

Author: A.L. Watts
Author: N. Andersson ORCID iD
Author: H. Beyer
Author: B.F. Schutz

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