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Time evolution of the linear perturbations of a rotating Newtonian polytrope

Time evolution of the linear perturbations of a rotating Newtonian polytrope
Time evolution of the linear perturbations of a rotating Newtonian polytrope
We present the results of numerical time evolutions of the linearized perturbations of rapidly and rigidly rotating Newtonian polytropes while making the Cowling approximation. The evolution code runs stably for hundreds of stellar rotations, allowing us to compare our results with previously published eigenmode calculations, for instance the f-mode calculations of Ipser & Lindblom, and the r-mode calculations of Karino et al.
The mode frequencies were found to be in agreement within the expected accuracy. We have also examined the inertial modes recently computed by Lockitch & Friedman and Yoshida & Lee, and we were able to extend their slow-rotation results into the rapid-rotation regime. In the longer term, this code will provide a platform for studying a number of poorly understood problems in stellar oscillation theory, such as the effect of differential rotation and gravitational radiation reaction on normal-mode oscillations and, with suitable modifications, mode–mode coupling in the mildly non-linear regime.
methods: numerical, stars: neutron, stars: oscillations, stars: rotation
0035-8711
933-940
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Stergioulas, N.
ccca6b37-49a6-41e6-9447-59af0073af4e
Jones, D.I.
b8f3e32c-d537-445a-a1e4-7436f472e160
Andersson, N.
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Stergioulas, N.
ccca6b37-49a6-41e6-9447-59af0073af4e

Jones, D.I., Andersson, N. and Stergioulas, N. (2002) Time evolution of the linear perturbations of a rotating Newtonian polytrope. Monthly Notices of the Royal Astronomical Society, 334, 933-940. (doi:10.1046/j.1365-8711.2002.05566.x).

Record type: Article

Abstract

We present the results of numerical time evolutions of the linearized perturbations of rapidly and rigidly rotating Newtonian polytropes while making the Cowling approximation. The evolution code runs stably for hundreds of stellar rotations, allowing us to compare our results with previously published eigenmode calculations, for instance the f-mode calculations of Ipser & Lindblom, and the r-mode calculations of Karino et al.
The mode frequencies were found to be in agreement within the expected accuracy. We have also examined the inertial modes recently computed by Lockitch & Friedman and Yoshida & Lee, and we were able to extend their slow-rotation results into the rapid-rotation regime. In the longer term, this code will provide a platform for studying a number of poorly understood problems in stellar oscillation theory, such as the effect of differential rotation and gravitational radiation reaction on normal-mode oscillations and, with suitable modifications, mode–mode coupling in the mildly non-linear regime.

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More information

Published date: 2002
Keywords: methods: numerical, stars: neutron, stars: oscillations, stars: rotation

Identifiers

Local EPrints ID: 29449
URI: http://eprints.soton.ac.uk/id/eprint/29449
ISSN: 0035-8711
PURE UUID: ccc39e1a-882a-44eb-b03d-ba59650e59fb
ORCID for D.I. Jones: ORCID iD orcid.org/0000-0002-0117-7567
ORCID for N. Andersson: ORCID iD orcid.org/0000-0001-8550-3843

Catalogue record

Date deposited: 15 May 2006
Last modified: 09 Jan 2022 03:00

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Contributors

Author: D.I. Jones ORCID iD
Author: N. Andersson ORCID iD
Author: N. Stergioulas

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