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- W1982937324 abstract "The theory of even-parity nonspherical perturbations of collisionless, isotropic, spherical star clusters in general relativity is developed for l> or =2. A variational principle for the associated normal modes of oscillation is derived. In this principle, an expression for the squared frequency of oscillation is stationary with respect to arbitrary acceptable variations of the independent dynamical variables if and only if the variations are carried out around the eigenfunctions of a normal mode. The stationary value of the frequency is the corresponding eigenfrequency. The form of the variational principle guarantees the applicability of a previous theorem, which implies that a cluster is unstable and only if it possesses a so-called unstable proper normal mode. Under a weak assumption, the form of the principle also guarantees that instabilities can possibly set in only through zero-frequency modes." @default.
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- W1982937324 date "1979-05-01" @default.
- W1982937324 modified "2023-10-17" @default.
- W1982937324 title "A variational principle for the even-parity perturbations of spherically symmetric star clusters in general relativity" @default.
- W1982937324 doi "https://doi.org/10.1086/157045" @default.
- W1982937324 hasPublicationYear "1979" @default.
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