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Improved Secular Stability Limits for Rotating White Dwarfs

Published online by Cambridge University Press:  12 April 2016

R. H. Durisen  and
J. N. Imamura
R. H. Durisen
Affiliation:
Department of Astronomy, Indiana University
J. N. Imamura
Affiliation:
Department of Astronomy, Indiana University

Extract

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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).

Type
Colloquium Session I
Information
International Astronomical Union Colloquium , Volume 53: White Dwarfs and Variable Degenerate Stars , August 1979 , pp. 43 - 47
Copyright
Copyright © The University of Rochester 1979

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