Spacetime modes of relativistic stars
Spacetime modes of relativistic stars
The problem of relativistic stellar pulsations is studied in a somewhat ad hoc approximation that ignores all fluid motions. This Inverse Cowling Approximation (ICA) is motivated by two observations: 1) For highly damped (w-mode) oscillations the fluid plays very little role. 2) If the fluid motion is neglected the problem for polar oscillation modes becomes similar to that for axial modes. Using the ICA we find a polar mode spectrum that has all features of the w-mode spectrum of the full problem. Moreover, in the limit of superdense stars, we find the ICA spectrum to be qualitatively similar to that of the axial modes. These results clearly show the importance of general relativity for the pulsation modes of compact stars, and that there are modes whose existence do not depend on motions of the fluid at all; pure "spacetime" modes.
1230-1234
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Kokkotas, Kostas D.
0b8bb98a-a65f-434b-855b-ec5b488b4a96
Schutz, Bernard F.
8f086301-4ac3-43b7-9c34-3719eb3e97ba
1996
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Kokkotas, Kostas D.
0b8bb98a-a65f-434b-855b-ec5b488b4a96
Schutz, Bernard F.
8f086301-4ac3-43b7-9c34-3719eb3e97ba
Andersson, Nils, Kokkotas, Kostas D. and Schutz, Bernard F.
(1996)
Spacetime modes of relativistic stars.
Monthly Notices of the Royal Astronomical Society, 280, .
Abstract
The problem of relativistic stellar pulsations is studied in a somewhat ad hoc approximation that ignores all fluid motions. This Inverse Cowling Approximation (ICA) is motivated by two observations: 1) For highly damped (w-mode) oscillations the fluid plays very little role. 2) If the fluid motion is neglected the problem for polar oscillation modes becomes similar to that for axial modes. Using the ICA we find a polar mode spectrum that has all features of the w-mode spectrum of the full problem. Moreover, in the limit of superdense stars, we find the ICA spectrum to be qualitatively similar to that of the axial modes. These results clearly show the importance of general relativity for the pulsation modes of compact stars, and that there are modes whose existence do not depend on motions of the fluid at all; pure "spacetime" modes.
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Published date: 1996
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Local EPrints ID: 29417
URI: http://eprints.soton.ac.uk/id/eprint/29417
ISSN: 0035-8711
PURE UUID: 6167da41-ca2d-41d4-89a9-0ac5329003d5
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Date deposited: 12 Mar 2007
Last modified: 08 Jan 2022 02:48
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Author:
Kostas D. Kokkotas
Author:
Bernard F. Schutz
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