Title

A Structure Theorem for Stationary Perfect Fluids

Authors

Brendan Guilfoyle, Department of Mathematics and Computing, Institute of Technology, Tralee, Clash, Tralee Co., Kerry, Republic of IrelandFollow

ORCID

0000-0002-7437-5046

Document Type

Preprint

Disciplines

Mathematics | Physical Sciences and Mathematics | Physics | Quantum Physics

Publication Details

Classical and Quantum Gravity, 22. © IOP Publishing. This is the version of the article before peer review or editing, as submitted by an author to Classical and Quantum Gravity.  IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.  The Version of Record is available online at 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.

Recommended Citation

Brendan Guilfoyle, A structure theorem for stationary perfect fluids, Class. Quantum Grav. 22 1599, 10.1088/0264-9381/22/9/008