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.
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 |