Shear free barotropic perfect fluids cannot rotate and expand simultaneously
General Relativity and Quantum Cosmology
2021-12-06 v4 Mathematical Physics
math.MP
Abstract
We prove here a long standing conjecture in general relativity, that if barotropic perfect fluid is moving in a shear free way, then it must be either expansion free or rotation free.
Keywords
Cite
@article{arxiv.2109.07776,
title = {Shear free barotropic perfect fluids cannot rotate and expand simultaneously},
author = {Rituparno Goswami and George F. R. Ellis},
journal= {arXiv preprint arXiv:2109.07776},
year = {2021}
}
Comments
More work needed for a complete proof, without any possible loopholes