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  Dynamical non-axisymmetric instabilities in rotating relativistic stars

Baiotti, L., Manca, G. M., Rezzolla, L., & De Pietri, R. (2007). Dynamical non-axisymmetric instabilities in rotating relativistic stars. Classical and Quantum Gravity, S171-S186. Retrieved from http://www.iop.org/EJ/abstract/-search=22898408.3/0264-9381/24/12/S12.

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Baiotti, Luca1, Author
Manca, Gian Mario, Author
Rezzolla, Luciano1, Author           
De Pietri, Roberto, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              

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 Abstract: We present new results on dynamical instabilities in rapidly rotating neutron-stars. In particular, using numerical simulations in full General Relativity, we analyse the effects that the stellar compactness has on the threshold for the onset of the dynamical bar-mode instability, as well as on the appearance of other dynamical instabilities. By using an extrapolation technique developed and tested in our previous study [1], we explicitly determine the threshold for a wide range of compactnesses using four sequences of models of constant baryonic mass comprising a total of 59 stellar models. Our calculation of the threshold is in good agreement with the Newtonian prediction and improves the previous post-Newtonian estimates. In addition, we find that for stars with sufficiently large mass and compactness, the m=3 deformation is the fastest growing one. For all of the models considered, the non-axisymmetric instability is suppressed on a dynamical timescale with an m=1 deformation dominating the final stages of the instability. These results, together with those presented in [1], suggest that an m=1 deformation represents a general and late-time feature of non-axisymmetric dynamical instabilities both in full General Relativity and in Newtonian gravity.

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 Dates: 2007
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Title: Classical and Quantum Gravity
  Alternative Title : 24
Source Genre: Journal
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: S171 - S186 Identifier: -