A Structure Theorem for Stationary Perfect Fluids
arXiv:gr-qc/0407105 · doi:10.1088/0264-9381/22/9/008
Abstract
It is proven that, under mild physical assumptions, an isolated stationary relativistic perfect fluid consists of a finite number of cells fibred by invariant annuli or invariant tori. For axially symmetric circular flows it is shown that the fluid consists of cells fibred by rigidly rotating annuli or tori.
9 pages, 1 figure, AMS-LATEX, final version