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The continuous spectrum in differentially rotating perfect fluids. II. The effect of gravitational radiation reaction. (English) Zbl 0564.76105

[For the first part see the review above (Zbl 0564.76104).]
The effect of gravitational radiation reaction on the continuous spectrum of normal modes in a differentially rotating perfect fluid is considered for the first time. This is done by evaluating the criterion for secular stability for a specific case, for which the continuum is found not to give rise to a secular instability. The calculation highlights certain differences between discrete and continuum modes, as well as between the Eulerian and Lagrangian representations of the continuum modes.

MSC:

76U05 General theory of rotating fluids
76E20 Stability and instability of geophysical and astrophysical flows

Citations:

Zbl 0564.76104
Full Text: DOI