The dynamical tides of spinning Newtonian stars
The dynamical tides of spinning Newtonian stars
We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections to the existing literature. The tidal perturbation is decomposed in terms of the normal oscillation modes, used to derive an expression for the effective Love number which is valid for any rotation rate. In contrast to previous work on the problem, our analysis highlights subtle issues relating to the orthogonality condition required for the mode-sum representation of the dynamical tide and shows how the prograde and retrograde modes combine to provide the overall tidal response. Utilising a slow-rotation expansion, we show that the dynamical tide (the effective Love number) is corrected at first order in rotation, whereas in the case of the static tide (the static Love number) the rotational corrections do not enter until second order.
gr-qc, astro-ph.HE, astro-ph.SR
8409-8428
Pnigouras, Pantelis
e7fc1316-2ac6-4f1a-8d7e-5b76e442e2bf
Gittins, Fabian
657ec875-fac3-4606-9dcd-591ef22fc9f6
Nanda, Amlan
5eceb460-88a5-4f26-9e56-23e3c7893c1f
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Jones, David Ian
b8f3e32c-d537-445a-a1e4-7436f472e160
21 November 2023
Pnigouras, Pantelis
e7fc1316-2ac6-4f1a-8d7e-5b76e442e2bf
Gittins, Fabian
657ec875-fac3-4606-9dcd-591ef22fc9f6
Nanda, Amlan
5eceb460-88a5-4f26-9e56-23e3c7893c1f
Andersson, Nils
2dd6d1ee-cefd-478a-b1ac-e6feedafe304
Jones, David Ian
b8f3e32c-d537-445a-a1e4-7436f472e160
Pnigouras, Pantelis, Gittins, Fabian, Nanda, Amlan, Andersson, Nils and Jones, David Ian
(2023)
The dynamical tides of spinning Newtonian stars.
Monthly Notices of the Royal Astronomical Society, 527, .
(doi:10.1093/mnras/stad3593).
Abstract
We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections to the existing literature. The tidal perturbation is decomposed in terms of the normal oscillation modes, used to derive an expression for the effective Love number which is valid for any rotation rate. In contrast to previous work on the problem, our analysis highlights subtle issues relating to the orthogonality condition required for the mode-sum representation of the dynamical tide and shows how the prograde and retrograde modes combine to provide the overall tidal response. Utilising a slow-rotation expansion, we show that the dynamical tide (the effective Love number) is corrected at first order in rotation, whereas in the case of the static tide (the static Love number) the rotational corrections do not enter until second order.
Text
stad3593
- Version of Record
Text
2205.07577v2
- Other
More information
Accepted/In Press date: 15 November 2023
Published date: 21 November 2023
Keywords:
gr-qc, astro-ph.HE, astro-ph.SR
Identifiers
Local EPrints ID: 493406
URI: http://eprints.soton.ac.uk/id/eprint/493406
ISSN: 1365-2966
PURE UUID: d0e3a3f4-b9d0-4c03-9872-0847a7f093cd
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Date deposited: 02 Sep 2024 17:52
Last modified: 03 Sep 2024 02:06
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Contributors
Author:
Pantelis Pnigouras
Author:
Fabian Gittins
Author:
Amlan Nanda
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