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Improved Secular Stability Limits for Rotating White Dwarfs

  • R. H. Durisen (a1) and J. N. Imamura (a1)

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In the special case of the Maclaurin spheroids, it has been known for some time that the m = 2 barlike modes become secularly unstable for t ≡ T/IWI ≥ 0.1376 where T is the total rotational kinetic energy and W is the total gravitational energy of the spheroid. “Secular” here means that the instability depends on dissipative processes and grows on a long dissipative time scale. In particular, the Dedekind-like bar mode, which has zero eigenfrequency at t = 0.1376 as viewed in the nonrotating frame, is unstable due to gravitational radiation (Chandrasekhar 1970).

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References

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Improved Secular Stability Limits for Rotating White Dwarfs

  • R. H. Durisen (a1) and J. N. Imamura (a1)

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