A new criterion for secular instability of rapidly rotating stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Fields, Secular Variations, Stellar Gravitation, Stellar Rotation, Astrophysics, Rotating Matter

Scientific paper

A variational criterion sufficient for secular instability of rapidly rotating stars to bar modes driven by gravitational-radiation reaction is derived. Application to disk models indicates that differentially rotating stars can be stable beyond where they should be unstable according to the tensor virial method. It is shown why the tensor virial method is invalid.

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