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arXiv · 1811.05208

BKL oscillations in 2+1 space-time dimensions

Philipp Fleig·Vladimir A. Belinski
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Abstract

We investigate the question whether there are cosmological models in 2+1 space-time dimensions which exhibit dynamics similar to BKL oscillations, as the cosmological singularity is approached. Based on intuition, we conceive a toy model which displays such oscillatory dynamics. We show that in the phase space of this model, the cosmological singularity is represented by a separatrix curve and discuss the model's dynamics within the cosmological billiards picture. Finally, we offer a physical interpretation for a family of similar cosmological models in terms of the topological degrees of freedom of gravity in 2+1 dimensions.

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Philipp Fleig, Vladimir A. Belinski. 2018-11-13. BKL oscillations in 2+1 space-time dimensions. https://arxiv.org/abs/1811.05208

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