Dynamical instability of a general relativistic rotating fluid

Details Dynamical instability of a general relativistic rotating fluid Dynamical instability of a general relativistic rotating fluid

Aug 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991pasj...43..649n&link_type=abstract

Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 43, no. 4, 1991, p. 649-656.

Astronomy and Astrophysics

Astronomy

1

Dynamic Stability, Neutron Stars, Relativistic Theory, Rotating Fluids, Baroclinic Instability, Kelvin-Helmholtz Instability, Perturbation Theory, Relativistic Plasmas

Scientific paper

A necessary condition for instability is obtained for a steady, axisymmetric, general relativistic, rotating fluid under the assumption that a perturbation is adiabatic and inviscid, and that the change in the metric due to the perturbation is negligibly small. The necessary condition for instability is that the angular velocity is not constant in the fluid. This means that only rigid rotation is stable against a Kelvin-Helmholtz instability. The physical implication of the theorem is discussed.

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