Perturbations and Stability of Rotating Stars. 2: Properties of the 
eigenvectors and a variational principle

Schutz, Bernard F.

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Perturbations and Stability of Rotating Stars. 2: Properties of the eigenvectors and a variational principle

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Schutz, Bernard F.
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;
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MNRS190_7.pdf
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引用

Schutz, B. F. (1980). Perturbations and Stability of Rotating Stars. 2: Properties of the eigenvectors and a variational principle. Monthly Notices of the Royal Astronomical Society, 190(1), 7-20.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-0F4B-F

要旨

The paper considers properties of the normal modes of linear pulsation of perfect-fluid rotating stars, restricting it to finite-dimensional versions of the problem. It is shown that stars which have the time-azimuth reflection symmetry in their unperturbed state have the property that any right-eigenvalue can be changed into the adjoint of the left-eigenvector for the same eigenvalue; this permits a variational principle for the eigenfrequencies of all the normal modes to be formulated.