Multifractality in the general cosmological solution of Einstein's equations
General Relativity and Quantum Cosmology
2020-08-12 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
We demonstrate the scale invariance of the vacuum Bianchi type IX equations and use this to argue for the possibility of multifractal turbulence as a realisation of the suggestion by Belinski that there will be a fragmentation of local regions of inhomogeneous Mixmaster chaos on approach to an initial inhomogeneous cosmological singularity. Differences between the gravitational and hydrodynamical situations are outlined. Various potential obstacles to this picture of gravitational turbulence are discussed.
Keywords
Cite
@article{arxiv.2006.08652,
title = {Multifractality in the general cosmological solution of Einstein's equations},
author = {John D. Barrow},
journal= {arXiv preprint arXiv:2006.08652},
year = {2020}
}
Comments
5 pages, no figures, extra text and refs, accepted version