A review proposing that symmetry-reduced Einstein equations are structurally unstable and that versal unfolding theory classifies all their perturbations and bifurcations.
A conjecture about the general cosmological solution of Einstein's equations
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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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Structural stability and general relativity
A review proposing that symmetry-reduced Einstein equations are structurally unstable and that versal unfolding theory classifies all their perturbations and bifurcations.