Gravitational radiation back-reaction from f-modes on neutron stars

The problem of the gravitational radiation damping of neutron star fundamental (\(f\)) mode oscillations has received considerable attention. Many studies have looked at the stability of such oscillations in rapidly rotating stars, calculating the growth/decay rate of the mode amplitude. In this pap...

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Published in:arXiv.org 2022-01
Main Authors: Yim, Garvin, Jones, D I
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Language:English
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Angular momentum
Damping
Decay rate
Neutron stars
Neutrons
Radiation
Stellar oscillations
Stellar rotation
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description The problem of the gravitational radiation damping of neutron star fundamental (\(f\)) mode oscillations has received considerable attention. Many studies have looked at the stability of such oscillations in rapidly rotating stars, calculating the growth/decay rate of the mode amplitude. In this paper, we look at the relatively neglected problem of the radiation reaction on the spin of the star. We specialise greatly to the so-called Kelvin modes: the modes of oscillation of (initially) non-rotating incompressible stars. We find the unexpected result that the excitation of a mode of angular momentum \(\delta J\) on an initially non-rotating star ends up radiating an angular momentum \(2 \delta J\) to infinity, leaving the star itself with a bulk angular momentum of \(-\delta J\). This result is interesting in itself, and also will have implications for the angular momentum budgets of spinning down neutron stars, should such modes be excited.
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subjects Angular momentum
Damping
Decay rate
Neutron stars
Neutrons
Radiation
Stellar oscillations
Stellar rotation
title Gravitational radiation back-reaction from f-modes on neutron stars
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