A Structure Theorem for Stationary Perfect Fluids

Details A Structure Theorem for Stationary Perfect Fluids A Structure Theorem for Stationary Perfect Fluids

2004-07-28

arxiv.org/abs/gr-qc/0407105v3

Class.Quant.Grav. 22 (2005) 1599-1606

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure, AMS-LATEX, final version

Scientific paper

10.1088/0264-9381/22/9/008

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.

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