On the equilibrium figures of an ideal rotating fluid in the post-newtonian approximation of general relativity |
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| Authors: | K A Pyragas N P Bondarenko A N Kryshtal |
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| Institution: | 1. Institute for Theoretical Physics, Kiev, U.S.S.R.
2. Institute of Mathematics, Kiev, U.S.S.R.
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| Abstract: | 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 only whenR>22.2R g (R is the relativistic sphere radius,R g the Schwarzschild radius). |
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