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

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arxiv 2006.01562 v2 pith:YZHBRHQ2 submitted 2020-06-02 gr-qc astro-ph.COhep-th

John D. Barrow This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords oscillationsconjecturecosmologicaleinsteinequationsgeneralinhomogeneousmixmaster
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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.

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Cited by 1 Pith paper

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  1. Structural stability and general relativity

    gr-qc 2024-12 conditional novelty 2.0 of 10

    A review proposing that symmetry-reduced Einstein equations are structurally unstable and that versal unfolding theory classifies all their perturbations and bifurcations.

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