A Structure Theorem for Stationary Perfect Fluids
General Relativity and Quantum Cosmology
2009-11-10 v3
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.
Keywords
Cite
@article{arxiv.gr-qc/0407105,
title = {A Structure Theorem for Stationary Perfect Fluids},
author = {Brendan Guilfoyle},
journal= {arXiv preprint arXiv:gr-qc/0407105},
year = {2009}
}
Comments
9 pages, 1 figure, AMS-LATEX, final version