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  Analytic description of the r-mode instability in uniform density stars.

Kokkotas, K. D., & Stergioulas, N. (1999). Analytic description of the r-mode instability in uniform density stars. Astronomy and Astrophysics, 341, 110-116.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-58C4-1 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-58C5-0
Genre: Journal Article

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AA341-1999.pdf (Publisher version), 167KB
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 Creators:
Kokkotas, Kostas D., Author
Stergioulas, N.1, Author
Affiliations:
1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: We present an analytic description of the r-mode instability in newly-born neutron stars, using the approximation of uniform density. Our computation is consistently accurate to second order in the angular velocity of the star. We obtain formulae for the growth-time of the instability due to gravitational-wave emission, for both current and mass multipole radiation and for the damping timescale, due to viscosity. The l=m=2 current-multipole radiation dominates the timescale of the instability. We estimate the deviation of the second order accurate results from the lowest order approximation and show that the uncertainty in the equation of state has only a small effect on the onset of the r-mode instability. The viscosity coefficients and the cooling process in newly-born neutron stars are, at present, uncertain and our analytic formulae enable a quick check of such effects on the development of the instability.

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 Dates: 1999
 Publication Status: Published in print
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 Identifiers: eDoc: 206174
Other: 16425
Other: arXiv:astro-ph/9805297
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Title: Astronomy and Astrophysics
Source Genre: Journal
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Pages: - Volume / Issue: 341 Sequence Number: - Start / End Page: 110 - 116 Identifier: ISSN: 1432-0746