Theorems on shear-free perfect fluids with their Newtonian analogues
General Relativity and Quantum Cosmology
2010-12-03 v1
Abstract
In this paper we provide fully covariant proofs of some theorems on shear-free perfect fluids. In particular, we explicitly show that any shear-free perfect fluid with the acceleration proportional to the vorticity vector (including the simpler case of vanishing acceleration) must be either non-expanding or non-rotating. We also show that these results are not necessarily true in the Newtonian case, and present an explicit comparison of shear-free dust in Newtonian and relativistic theories in order to see where and why the differences appear.
Keywords
Cite
@article{arxiv.gr-qc/9702035,
title = {Theorems on shear-free perfect fluids with their Newtonian analogues},
author = {J. M. M. Senovilla and C. F. Sopuerta and P. Szekeres},
journal= {arXiv preprint arXiv:gr-qc/9702035},
year = {2010}
}
Comments
23 pages, LaTeX. Submitted to GRG