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arXiv 2006.01562gr-qcastro-ph.COhep-th
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关于爱因斯坦方程宇宙学通解的一个猜想

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

John D. Barrow

摘要:

我们引入考虑一个新的因素,同步的时空Mixmaster振荡,这可能会起到简化的作用,在理解爱因斯坦方程的一般非均匀宇宙学解的性质。我们猜想,在接近奇点时,时空Mixmaster振荡在不均匀宇宙的不同区域的相互作用可以产生这些振荡的同步,通过耦合到它们的平均场的方式首先证明了仓本耦合振荡器模型。

英文摘要:

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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