Einstein flow with matter sources: stability and convergence
Abstract
Two recent articles \cite{ashtekar2015general, moncrief2019could} suggested an interesting dynamical mechanism within the framework of the vacuum Einstein flow (or Einstein- flow if a positive cosmological constant is included) which suggests that many closed (compact without boundary) manifolds that do not support homogeneous and isotropic metrics \textit{at all} will nevertheless evolve to be asymptotically compatible with the observed approximate homogeneity and isotropy of the physical universe. These studies however did not include matter sources. Therefore the aim of the present study is to include suitable matter sources and investigate whether one is able to draw a similar conclusion.
Cite
@article{arxiv.2108.12103,
title = {Einstein flow with matter sources: stability and convergence},
author = {Vincent Moncrief and Puskar Mondal},
journal= {arXiv preprint arXiv:2108.12103},
year = {2022}
}
Comments
20 pages. arXiv admin note: text overlap with arXiv:1903.00323, arXiv:1911.01233