On the equilibrium figures of an ideal rotating fluid in the post-Newtonian approximation of general relativity. III - Stability of the forms of equilibrium

Details On the equilibrium figures of an ideal rotating fluid in the post-Newtonian approximation of general relativity. III - Stability of the forms of equilibrium On the equilibrium figures of an ideal rotating fluid in the post-Newtonian approximation of general relativity. III - Stability of the forms of equilibrium

Mar 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..33...75p&link_type=abstract

Astrophysics and Space Science, vol. 33, Mar. 1975, p. 75-97.

Astronomy and Astrophysics

Astrophysics

Dynamic Stability, Ideal Fluids, Liapunov Functions, Mathematical Models, Relativity, Rotating Fluids, Angular Velocity, Equilibrium, Gravitation Theory, Lagrangian Equilibrium Points, Rotating Spheres, Schwarzschild Metric

Scientific paper

A stability criterion is given for the equilibrium form of an ideal rotating fluid in the post- Newtonian approximation. This generalizes the known Lyapunov criterion in classical dynamics. The sphere stability is also investigated and it is shown that it is stable oniy when R> 22.2Rg (R is the relativistic sphere radius, R9 the Schwarzschild radius)

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