English

A conjecture about the general cosmological solution of Einstein's equations

General Relativity and Quantum Cosmology 2020-07-15 v2 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

We introduce consideration of a new factor, synchronisation of spacetime Mixmaster oscillations, that may play a simplifying role in understanding the nature of the general inhomogeneous cosmological solution to Einstein's equations. We conjecture that, on approach to a singularity, the interaction of spacetime Mixmaster oscillations in different regions of an inhomogeneous universe can produce a synchronisation of these oscillations through a coupling to their mean field in the way first demonstrated by the Kuramoto coupled oscillator model.

Keywords

Cite

@article{arxiv.2006.01562,
  title  = {A conjecture about the general cosmological solution of Einstein's equations},
  author = {John D. Barrow},
  journal= {arXiv preprint arXiv:2006.01562},
  year   = {2020}
}

Comments

7 pages, no figures, added analysis

R2 v1 2026-06-23T15:59:26.746Z