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The traditional approximation in general relativity

The traditional approximation in general relativity
The traditional approximation in general relativity
We discuss the generalization of the so-called traditional approximation, well known in geophysics, to general relativity. We show that the approximation is applicable for rotating relativistic stars, provided that one focuses on relatively thin radial shells. This means that the framework can be used to study waves in neutron star oceans. We demonstrate that, once the effects of the relativistic frame-dragging are accounted for, the angular problem reduces to Laplace's tidal equation. We derive the dispersion relation for various classes of waves in a neutron star ocean and show that the combined effects of the frame-dragging and the gravitational redshift typically lower the frequency of a mode by about 20 per cent.
0035-8711
1349-1358
Maniopoulou, Asimina
ada812b5-349a-4070-813d-6c535fa86c09
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Maniopoulou, Asimina
ada812b5-349a-4070-813d-6c535fa86c09
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304

Maniopoulou, Asimina and Andersson, Nils (2004) The traditional approximation in general relativity. Monthly Notices of the Royal Astronomical Society, 351, 1349-1358. (doi:10.1111/j.1365-2966.2004.07872.x).

Record type: Article

Abstract

We discuss the generalization of the so-called traditional approximation, well known in geophysics, to general relativity. We show that the approximation is applicable for rotating relativistic stars, provided that one focuses on relatively thin radial shells. This means that the framework can be used to study waves in neutron star oceans. We demonstrate that, once the effects of the relativistic frame-dragging are accounted for, the angular problem reduces to Laplace's tidal equation. We derive the dispersion relation for various classes of waves in a neutron star ocean and show that the combined effects of the frame-dragging and the gravitational redshift typically lower the frequency of a mode by about 20 per cent.

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Published date: 2004

Identifiers

Local EPrints ID: 29460
URI: http://eprints.soton.ac.uk/id/eprint/29460
ISSN: 0035-8711
PURE UUID: 8777f2be-bb04-4362-a209-fb40f50fde63
ORCID for Nils Andersson: ORCID iD orcid.org/0000-0001-8550-3843

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Date deposited: 11 May 2006
Last modified: 09 Jan 2022 02:57

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Contributors

Author: Asimina Maniopoulou
Author: Nils Andersson ORCID iD

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