A new criterion for secular instability of rapidly rotating stars

Bardeen, James M.; Friedman, John L.; Schutz, Bernard F.; Sorkin, Rafael

doi:10.1086/182537

A new criterion for secular instability of rapidly rotating stars

James M. Bardeen
(
- George Washington U. and
- Yale U.
)
,
John L. Friedman
(
- Wisconsin U., Milwaukee
)
,
Bernard F. Schutz
(
- Cardiff U.
)
,
Rafael Sorkin
(
- Cardiff U.
)

Oct, 1977

5 pages

Published in:

Astrophys.J.Lett. 217 (1977) L49-L53

DOI:

10.1086/182537

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Abstract: (ADS)

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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