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arXiv · 2006.01562

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

John D. Barrow
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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.

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John D. Barrow. 2020-06-02. A conjecture about the general cosmological solution of Einstein's equations. https://doi.org/10.1103/physrevd.102.024017

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