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Zbl 0703.53071
Rozoy, Luc
A propos de la conjecture de la balle liquide en relativité générale. (On the conjecture of the liquid ball in general relativity). (French)
[A] Sémin. Théor. Spectrale Géom. 7, Année 1988-1989, 92-101 (1989).

[For the entire collection see Zbl 0699.00033.] \par In classical mechanics the equilibrium shape of a perfect fluid under its own gravitational interactions is a solid sphere. The generalization of this result to general relativity seems very difficult. The paper is a progress report on the author's and earlier attempts to prove it without making too severe restrictions. There is still some way to go.
[C.W.Kilmister]

MSC 2000:: *53B50 Appl. of local differential geometry to physics
83C55 Hydrodynamics (general relativity)

Keywords: equilibrium shape; perfect fluid; general relativity

Citations: Zbl 0699.00033

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